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<!--XBRL Document Created with Wdesk from Workiva-->
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  <link:labelLink xlink:role="http://www.xbrl.org/2003/role/link" xlink:type="extended">
    <link:label id="lab_asml_FundingProvidedForToolingAndFacilitiesInvestmentsInAssociates_label_en" xlink:label="lab_asml_FundingProvidedForToolingAndFacilitiesInvestmentsInAssociates" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en">Funding provided for tooling and facilities investments in associates</link:label>
    <link:label id="lab_asml_FundingProvidedForToolingAndFacilitiesInvestmentsInAssociates_documentation_en" xlink:label="lab_asml_FundingProvidedForToolingAndFacilitiesInvestmentsInAssociates" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en">Funding provided for tooling and facilities investments in associates</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_asml_FundingProvidedForToolingAndFacilitiesInvestmentsInAssociates" xlink:href="asml-2022-12-31.xsd#asml_FundingProvidedForToolingAndFacilitiesInvestmentsInAssociates"/>
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    <link:label id="lab_asml_OtherComprehensiveIncomeNetOfTaxCashFlowHedgesOtherComprehensiveIncome_label_en" xlink:label="lab_asml_OtherComprehensiveIncomeNetOfTaxCashFlowHedgesOtherComprehensiveIncome" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en">Other Comprehensive Income, Net Of Tax, Cash Flow Hedges, Other Comprehensive Income</link:label>
    <link:label id="lab_asml_OtherComprehensiveIncomeNetOfTaxCashFlowHedgesOtherComprehensiveIncome_documentation_en" xlink:label="lab_asml_OtherComprehensiveIncomeNetOfTaxCashFlowHedgesOtherComprehensiveIncome" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en">Other Comprehensive Income, Net Of Tax, Cash Flow Hedges, Other Comprehensive Income</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_asml_OtherComprehensiveIncomeNetOfTaxCashFlowHedgesOtherComprehensiveIncome" xlink:href="asml-2022-12-31.xsd#asml_OtherComprehensiveIncomeNetOfTaxCashFlowHedgesOtherComprehensiveIncome"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_asml_OtherComprehensiveIncomeNetOfTaxCashFlowHedgesOtherComprehensiveIncome" xlink:to="lab_asml_OtherComprehensiveIncomeNetOfTaxCashFlowHedgesOtherComprehensiveIncome" xlink:type="arc" order="1"/>
    <link:label id="lab_asml_IncreaseDecreaseInLegalReservesResearchAndDevelopmentExpendituresEquity_label_en" xlink:label="lab_asml_IncreaseDecreaseInLegalReservesResearchAndDevelopmentExpendituresEquity" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en">Increase (decrease) in legal reserves, research and development expenditures, equity</link:label>
    <link:label id="lab_asml_IncreaseDecreaseInLegalReservesResearchAndDevelopmentExpendituresEquity_documentation_en" xlink:label="lab_asml_IncreaseDecreaseInLegalReservesResearchAndDevelopmentExpendituresEquity" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en">Increase (decrease) in legal reserves, research and development expenditures, equity</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_asml_IncreaseDecreaseInLegalReservesResearchAndDevelopmentExpendituresEquity" xlink:href="asml-2022-12-31.xsd#asml_IncreaseDecreaseInLegalReservesResearchAndDevelopmentExpendituresEquity"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_asml_IncreaseDecreaseInLegalReservesResearchAndDevelopmentExpendituresEquity" xlink:to="lab_asml_IncreaseDecreaseInLegalReservesResearchAndDevelopmentExpendituresEquity" xlink:type="arc" order="1"/>
    <link:label id="lab_asml_NetIncomeMember_label_en" xlink:label="lab_asml_NetIncomeMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en">Net income [Member]</link:label>
    <link:label id="lab_asml_NetIncomeMember_documentation_en" xlink:label="lab_asml_NetIncomeMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en">Net income</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_asml_NetIncomeMember" xlink:href="asml-2022-12-31.xsd#asml_NetIncomeMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_asml_NetIncomeMember" xlink:to="lab_asml_NetIncomeMember" xlink:type="arc" order="1"/>
    <link:label id="lab_asml_IssuanceOfShares_label_en" xlink:label="lab_asml_IssuanceOfShares" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en">Issuance Of Shares</link:label>
    <link:label id="lab_asml_IssuanceOfShares_documentation_en" xlink:label="lab_asml_IssuanceOfShares" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en">Issuance Of Shares</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_asml_IssuanceOfShares" xlink:href="asml-2022-12-31.xsd#asml_IssuanceOfShares"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_asml_IssuanceOfShares" xlink:to="lab_asml_IssuanceOfShares" xlink:type="arc" order="1"/>
    <link:label id="lab_asml_AdjustmentsForDecreaseIncreaseInFinanceReceivables_label_en" xlink:label="lab_asml_AdjustmentsForDecreaseIncreaseInFinanceReceivables" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en">Adjustments for decrease (increase) in finance receivables</link:label>
    <link:label id="lab_asml_AdjustmentsForDecreaseIncreaseInFinanceReceivables_documentation_en" xlink:label="lab_asml_AdjustmentsForDecreaseIncreaseInFinanceReceivables" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en">Adjustments for decrease (increase) in finance receivables</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_asml_AdjustmentsForDecreaseIncreaseInFinanceReceivables" xlink:href="asml-2022-12-31.xsd#asml_AdjustmentsForDecreaseIncreaseInFinanceReceivables"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_asml_AdjustmentsForDecreaseIncreaseInFinanceReceivables" xlink:to="lab_asml_AdjustmentsForDecreaseIncreaseInFinanceReceivables" xlink:type="arc" order="1"/>
    <link:label id="lab_asml_AdjustmentForIncreaseDecreaseCurrentTaxAssetsAndLiabilities_label_en" xlink:label="lab_asml_AdjustmentForIncreaseDecreaseCurrentTaxAssetsAndLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en">Adjustment For Increase (Decrease), Current Tax Assets And Liabilities</link:label>
    <link:label id="lab_asml_AdjustmentForIncreaseDecreaseCurrentTaxAssetsAndLiabilities_documentation_en" xlink:label="lab_asml_AdjustmentForIncreaseDecreaseCurrentTaxAssetsAndLiabilities" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en">Adjustment For Increase (Decrease), Current Tax Assets And Liabilities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_asml_AdjustmentForIncreaseDecreaseCurrentTaxAssetsAndLiabilities" xlink:href="asml-2022-12-31.xsd#asml_AdjustmentForIncreaseDecreaseCurrentTaxAssetsAndLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_asml_AdjustmentForIncreaseDecreaseCurrentTaxAssetsAndLiabilities" xlink:to="lab_asml_AdjustmentForIncreaseDecreaseCurrentTaxAssetsAndLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_asml_NoncashPortionOfPropertyPlantAndEquipmentInInvestingActivities_label_en" xlink:label="lab_asml_NoncashPortionOfPropertyPlantAndEquipmentInInvestingActivities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en">Noncash Portion Of Property, Plant And Equipment In Investing Activities</link:label>
    <link:label id="lab_asml_NoncashPortionOfPropertyPlantAndEquipmentInInvestingActivities_documentation_en" xlink:label="lab_asml_NoncashPortionOfPropertyPlantAndEquipmentInInvestingActivities" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en">Noncash Portion Of Property, Plant And Equipment In Investing Activities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_asml_NoncashPortionOfPropertyPlantAndEquipmentInInvestingActivities" xlink:href="asml-2022-12-31.xsd#asml_NoncashPortionOfPropertyPlantAndEquipmentInInvestingActivities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_asml_NoncashPortionOfPropertyPlantAndEquipmentInInvestingActivities" xlink:to="lab_asml_NoncashPortionOfPropertyPlantAndEquipmentInInvestingActivities" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_GrossProfit_ade1a5c2-8752-4fbb-b443-7bb1563a8310_totalLabel_en" xlink:label="lab_ifrs-full_GrossProfit" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en">Gross profit</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_GrossProfit" xlink:href="http://xbrl.ifrs.org/taxonomy/2021-03-24/full_ifrs/full_ifrs-cor_2021-03-24.xsd#ifrs-full_GrossProfit"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_GrossProfit" xlink:to="lab_ifrs-full_GrossProfit" xlink:type="arc" order="1"/>
    <link:label id="lab_asml_AdjustmentsForEquityMethodInvestments_label_en" xlink:label="lab_asml_AdjustmentsForEquityMethodInvestments" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en">Adjustments For Equity Method Investments</link:label>
    <link:label id="lab_asml_AdjustmentsForEquityMethodInvestments_documentation_en" xlink:label="lab_asml_AdjustmentsForEquityMethodInvestments" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en">Adjustments For Equity Method Investments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_asml_AdjustmentsForEquityMethodInvestments" xlink:href="asml-2022-12-31.xsd#asml_AdjustmentsForEquityMethodInvestments"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_asml_AdjustmentsForEquityMethodInvestments" xlink:to="lab_asml_AdjustmentsForEquityMethodInvestments" xlink:type="arc" order="1"/>
    <link:label id="lab_asml_PriorPeriodProfit_label_en" xlink:label="lab_asml_PriorPeriodProfit" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en">Prior Period, Profit</link:label>
    <link:label id="lab_asml_PriorPeriodProfit_documentation_en" xlink:label="lab_asml_PriorPeriodProfit" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en">Prior Period, Profit</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_asml_PriorPeriodProfit" xlink:href="asml-2022-12-31.xsd#asml_PriorPeriodProfit"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_asml_PriorPeriodProfit" xlink:to="lab_asml_PriorPeriodProfit" xlink:type="arc" order="1"/>
    <link:label id="lab_asml_NetSystemSales_label_en" xlink:label="lab_asml_NetSystemSales" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en">Net system sales</link:label>
    <link:label id="lab_asml_NetSystemSales_documentation_en" xlink:label="lab_asml_NetSystemSales" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en">Net system sales</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_asml_NetSystemSales" xlink:href="asml-2022-12-31.xsd#asml_NetSystemSales"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_asml_NetSystemSales" xlink:to="lab_asml_NetSystemSales" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_CashFlowsFromUsedInOperatingActivities_095ac188-57f3-4fac-8e41-0b62c37688be_totalLabel_en" xlink:label="lab_ifrs-full_CashFlowsFromUsedInOperatingActivities" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en">Cash flows from (used in) operating activities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_CashFlowsFromUsedInOperatingActivities" xlink:href="http://xbrl.ifrs.org/taxonomy/2021-03-24/full_ifrs/full_ifrs-cor_2021-03-24.xsd#ifrs-full_CashFlowsFromUsedInOperatingActivities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_CashFlowsFromUsedInOperatingActivities" xlink:to="lab_ifrs-full_CashFlowsFromUsedInOperatingActivities" xlink:type="arc" order="1"/>
    <link:label id="lab_asml_PurchaseOfTreasurySharesInShares_label_en" xlink:label="lab_asml_PurchaseOfTreasurySharesInShares" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en">Purchase Of Treasury Shares, In Shares</link:label>
    <link:label id="lab_asml_PurchaseOfTreasurySharesInShares_documentation_en" xlink:label="lab_asml_PurchaseOfTreasurySharesInShares" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en">Purchase Of Treasury Shares, In Shares</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_asml_PurchaseOfTreasurySharesInShares" xlink:href="asml-2022-12-31.xsd#asml_PurchaseOfTreasurySharesInShares"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_asml_PurchaseOfTreasurySharesInShares" xlink:to="lab_asml_PurchaseOfTreasurySharesInShares" xlink:type="arc" order="1"/>
    <link:label id="lab_asml_CostOfSystemSales_label_en" xlink:label="lab_asml_CostOfSystemSales" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en">Cost of system sales</link:label>
    <link:label id="lab_asml_CostOfSystemSales_documentation_en" xlink:label="lab_asml_CostOfSystemSales" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en">Cost of system sales</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_asml_CostOfSystemSales" xlink:href="asml-2022-12-31.xsd#asml_CostOfSystemSales"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_asml_CostOfSystemSales" xlink:to="lab_asml_CostOfSystemSales" xlink:type="arc" order="1"/>
    <link:label id="lab_asml_CostOfServiceAndFieldOptionsSales_label_en" xlink:label="lab_asml_CostOfServiceAndFieldOptionsSales" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en">Cost of service and field options sales</link:label>
    <link:label id="lab_asml_CostOfServiceAndFieldOptionsSales_documentation_en" xlink:label="lab_asml_CostOfServiceAndFieldOptionsSales" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en">Cost of service and field options sales</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_asml_CostOfServiceAndFieldOptionsSales" xlink:href="asml-2022-12-31.xsd#asml_CostOfServiceAndFieldOptionsSales"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_asml_CostOfServiceAndFieldOptionsSales" xlink:to="lab_asml_CostOfServiceAndFieldOptionsSales" xlink:type="arc" order="1"/>
    <link:label id="lab_asml_NetServiceAndFieldOptionSales_label_en" xlink:label="lab_asml_NetServiceAndFieldOptionSales" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en">Net service and field option sales</link:label>
    <link:label id="lab_asml_NetServiceAndFieldOptionSales_documentation_en" xlink:label="lab_asml_NetServiceAndFieldOptionSales" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en">Net service and field option sales</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_asml_NetServiceAndFieldOptionSales" xlink:href="asml-2022-12-31.xsd#asml_NetServiceAndFieldOptionSales"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_asml_NetServiceAndFieldOptionSales" xlink:to="lab_asml_NetServiceAndFieldOptionSales" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_IncreaseDecreaseInCashAndCashEquivalentsBeforeEffectOfExchangeRateChanges_ae1d9f92-646c-4050-a00f-7443d962143a_totalLabel_en" xlink:label="lab_ifrs-full_IncreaseDecreaseInCashAndCashEquivalentsBeforeEffectOfExchangeRateChanges" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en">Increase (decrease) in cash and cash equivalents before effect of exchange rate changes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_IncreaseDecreaseInCashAndCashEquivalentsBeforeEffectOfExchangeRateChanges" xlink:href="http://xbrl.ifrs.org/taxonomy/2021-03-24/full_ifrs/full_ifrs-cor_2021-03-24.xsd#ifrs-full_IncreaseDecreaseInCashAndCashEquivalentsBeforeEffectOfExchangeRateChanges"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_IncreaseDecreaseInCashAndCashEquivalentsBeforeEffectOfExchangeRateChanges" xlink:to="lab_ifrs-full_IncreaseDecreaseInCashAndCashEquivalentsBeforeEffectOfExchangeRateChanges" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_CashFlowsFromUsedInInvestingActivities_2f5a9afd-3768-4b10-9a7e-f4474f2d6e36_totalLabel_en" xlink:label="lab_ifrs-full_CashFlowsFromUsedInInvestingActivities" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en">Cash flows from (used in) investing activities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_CashFlowsFromUsedInInvestingActivities" xlink:href="http://xbrl.ifrs.org/taxonomy/2021-03-24/full_ifrs/full_ifrs-cor_2021-03-24.xsd#ifrs-full_CashFlowsFromUsedInInvestingActivities"/>
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    <link:label id="lab_asml_NonCurrentLoansReceivable_label_en" xlink:label="lab_asml_NonCurrentLoansReceivable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en">Non-Current Loans Receivable</link:label>
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