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Intangible Assets and Goodwill (Tables) | 12 Months Ended
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Dec. 31, 2021
Intangible Assets and Goodwill |
Schedule reflecting the composition of intangible assets and goodwill | The following table presents the composition of intangible assets and goodwill (in thousands): ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | Estimated | ​ | As of December 31, 2021 | ​ | As of December 31, 2020
​ | ​ | Useful | ​ | Gross | ​ | ​ | ​ | ​ | ​ | Gross | ​ | ​ | ​ | ​
​ | ​ | Life | ​ | Carrying | ​ | Accumulated | ​ | Net | ​ | Carrying | ​ | Accumulated | ​ | Net
​ |  | (in years) |  | Amount |  | Amortization |  | Amount |  | Amount |  | Amortization |  | Amount
Developed technology | ​ | 11.4 | ​ | $ | 252,200 | ​ | $ | (46,485) | ​ | $ | 205,715 | ​ | $ | 252,200 | ​ | $ | (24,393) | ​ | $ | 227,807
Customer relationships | ​ | 5.0 | ​ | ​ | 14,100 | ​ | ​ | (5,934) | ​ | ​ | 8,166 | ​ | ​ | 14,100 | ​ | ​ | (3,114) | ​ | ​ | 10,986
Intangible assets subject to amortization | ​ | ​ | ​ | ​ | 266,300 | ​ | ​ | (52,419) | ​ | ​ | 213,881 | ​ | ​ | 266,300 | ​ | ​ | (27,507) | ​ | ​ | 238,793
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
In-process research and development | ​ | Indefinite | ​ | $ | 118,900 | ​ | ​ | — | ​ | ​ | 118,900 | ​ | ​ | 118,900 | ​ | ​ | — | ​ | ​ | 118,900
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Total | ​ | ​ | ​ | $ | 385,200 | ​ | $ | (52,419) | ​ | $ | 332,781 | ​ | $ | 385,200 | ​ | $ | (27,507) | ​ | $ | 357,693
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Goodwill | ​ | Indefinite | ​ | $ | 66,134 | ​ | ​ | — | ​ | ​ | 66,134 | ​ | ​ | 66,134 | ​ | ​ | — | ​ | ​ | 66,134
Schedule of expected amortization of finite-lived intangible assets | As of December 31, 2021, expected amortization expense for unamortized finite-lived intangible assets for the next five years and thereafter is as follows (in thousands): ​
​ | ​ | ​ | ​
​ |  | Amortization Expense
2022 | ​ | $ | 24,912
2023 | ​ | ​ | 24,912
2024 | ​ | ​ | 24,619
2025 | ​ | ​ | 22,092
2026 | ​ | ​ | 22,092
Thereafter | ​ | ​ | 95,254
Total amortization | ​ | $ | 213,881

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