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Goodwill and Intangible Assets (Tables) | 12 Months Ended
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Dec. 31, 2023
Goodwill and Intangible Assets Disclosure [Abstract] |
Changes in carrying amount of goodwill | The changes in the carrying amount of goodwill for the years ended December 31, 2023 and 2022, are as follows (in thousands):
​ | ​ | ​ | ​ | ​ | ​ | ​
​ |  | 2023 |  | 2022
Goodwill balance at January 1 | ​ | $ | 359,821 | ​ | $ | 361,741
Effect of foreign exchange | ​ |  | 883 | ​ |  | (1,920)
Additions and adjustments as the result of acquisitions | ​ |  | 21,536 | ​ |  | —
Goodwill balance at December 31 | ​ | $ | 382,240 | ​ | $ | 359,821
Other intangible assets | Other intangible assets at December 31, 2023 and 2022, consisted of the following (in thousands):
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | December 31, 2023
​ | ​ | Gross Carrying | ​ | Accumulated | ​ | Net Carrying
​ |  | Amount |  | Amortization |  | Amount
Patents | ​ | $ | 28,877 | ​ | $ | (10,916) | ​ | $ | 17,961
Distribution agreements | ​ |  | 3,250 | ​ |  | (2,919) | ​ |  | 331
License agreements | ​ |  | 11,142 | ​ |  | (8,327) | ​ |  | 2,815
Trademarks | ​ |  | 35,135 | ​ |  | (20,804) | ​ |  | 14,331
Customer lists | ​ |  | 40,367 | ​ |  | (33,921) | ​ |  | 6,446
Total | ​ | $ | 118,771 | ​ | $ | (76,887) | ​ | $ | 41,884
​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | December 31, 2022
​ | ​ | Gross Carrying | ​ | Accumulated | ​ | Net Carrying
​ |  | Amount |  | Amortization |  | Amount
Patents | ​ | $ | 29,445 | ​ | $ | (10,203) | ​ | $ | 19,242
Distribution agreements | ​ |  | 3,250 | ​ |  | (2,715) | ​ |  | 535
License agreements | ​ |  | 11,109 | ​ |  | (7,250) | ​ |  | 3,859
Trademarks | ​ |  | 30,221 | ​ |  | (17,863) | ​ |  | 12,358
Customer lists | ​ |  | 34,105 | ​ |  | (31,749) | ​ |  | 2,356
Total | ​ | $ | 108,130 | ​ | $ | (69,780) | ​ | $ | 38,350
Estimated amortization expense | Estimated amortization expense for the developed technology and other intangible assets for the next five years consists of the following as of December 31, 2023 (in thousands):
​ | ​ | ​ | ​
​ |  | Estimated Amortization Expense
2024 | ​ | $ | 62,244
2025 | ​ |  | 60,127
2026 | ​ |  | 49,037
2027 | ​ | ​ | 45,619
2028 | ​ |  | 44,230

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