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Financial risk management (Details 4) $ in Thousands | 12 Months Ended
--- | ---
Dec. 31, 2024 USD ($) | Dec. 31, 2023 USD ($) | Dec. 31, 2022 USD ($)
Notes and other explanatory information [abstract] |  |  |
Loans and financings | $ 1,762,633 | $ 1,725,566 | $ 1,669,259
Derivative financial instruments | (1,484) | 2,600 | 2,575
Lease liabilities | 95,899 | 77,405 | 27,205
Cash and cash equivalents | (620,537) | (457,259) | (497,826)
Financial investments | (19,693) | (11,058) | (18,062)
Net debt | 1,216,818 | 1,337,254 | 1,183,151
Net (loss) income for the year | (187,407) | (291,810) | 76,988
Depreciation and amortization | 330,198 | 310,475 | 292,140
Share in the results of associates | (21,223) | (23,536) | (1,885)
Net financial results | 369,460 | 167,058 | 134,811
Income tax expense (benefit) | 115,556 | (4,274) | 150,983
Miscellaneous adjustments | 107,496 | 248,128 | 110,168
Adjusted EBITDA | $ 714,080 | $ 406,041 | $ 763,205
Leverage ratio (Net debt/Adjusted EBITDA) | 1.70 | 3.29 | 1.55

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