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Goodwill and Intangible Assets (Tables) | 12 Months Ended
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Dec. 31, 2022
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, 2022 and 2021, are as follows (in thousands):
​ | ​ | ​ | ​ | ​ | ​ | ​
​ |  | 2022 |  | 2021
Goodwill balance at January 1 | ​ | $ | 361,741 | ​ | $ | 363,533
Effect of foreign exchange | ​ |  | (1,920) | ​ |  | (2,078)
Additions and adjustments as the result of acquisitions | ​ |  | — | ​ |  | 286
Goodwill balance at December 31 | ​ | $ | 359,821 | ​ | $ | 361,741
​
Other intangible assets | Other intangible assets at December 31, 2022 and 2021, consisted of the following (in thousands):
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | 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
​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | December 31, 2021
​ | ​ | Gross Carrying | ​ | Accumulated | ​ | Net Carrying
​ |  | Amount |  | Amortization |  | Amount
Patents | ​ | $ | 26,349 | ​ | $ | (8,315) | ​ | $ | 18,034
Distribution agreements | ​ |  | 3,250 | ​ |  | (2,519) | ​ |  | 731
License agreements | ​ |  | 12,663 | ​ |  | (7,768) | ​ |  | 4,895
Trademarks | ​ |  | 30,242 | ​ |  | (15,256) | ​ |  | 14,986
Customer lists | ​ |  | 34,985 | ​ |  | (31,195) | ​ |  | 3,790
Total | ​ | $ | 107,489 | ​ | $ | (65,053) | ​ | $ | 42,436
​
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, 2022 (in thousands):
​ | ​ | ​ | ​
Year Ending December 31, |  | Estimated Amortization Expense
2023 | ​ | $ | 47,496
2024 | ​ |  | 44,434
2025 | ​ |  | 42,610
2026 | ​ | ​ | 32,040
2027 | ​ |  | 28,966
​

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