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Income Taxes - Deferred Tax Liabilities (Details) - USD ($) $ in Thousands | Sep. 30, 2023 | Sep. 30, 2022
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Deferred Tax Liabilities, Gross [Abstract] |  |
Depreciation and intangible amortization | $ (97,572) | $ (56,856)
Right-of-use assets | (16,632) | (14,146)
Other liabilities | (317) | (402)
Net unrealized loss | (1,574) | (27,144)
Deferred tax liabilities | $ (116,095) | $ (98,548)

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