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Intangibles (Tables) | 9 Months Ended
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Sep. 30, 2025
Intangibles |
Schedule of changes in carrying amount of customer relationships |
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ | ​ | ​ | (Unaudited) | ​
​ | ​ | December 31, | ​ | September 30, | ​
(in thousands) | ​ | 2024 |  | 2025 | ​
Gross carrying value of customer relationships | ​ | $ | 1,555,000 |  | ​ | 1,555,000 | ​
Accumulated amortization of customer relationships | ​ | ​ | (410,241) | ​ | ​ | (463,245) | ​
Customer relationships | ​ | $ | 1,144,759 | ​ | ​ | 1,091,755 | ​
Schedule of future amortization expense | Future amortization expense as of September 30, 2025 is as follows (in thousands):
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Remainder of year ending December 31, 2025 | ​ | ​ | ​ | ​ | $ | 17,668 | ​
Year ending December 31, 2026 | ​ | ​ | ​ | ​ | ​ | 70,672 | ​
Year ending December 31, 2027 | ​ | ​ | ​ | ​ | ​ | 70,672 | ​
Year ending December 31, 2028 | ​ | ​ | ​ | ​ | ​ | 70,672 | ​
Year ending December 31, 2029 | ​ | ​ | ​ | ​ | ​ | 70,672 | ​
Thereafter | ​ | ​ | ​ | ​ | ​ | 791,399 | ​
Total | ​ | ​ | ​ | ​ | $ | 1,091,755 | ​
​

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