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Intangible assets and goodwill (Tables) | 3 Months Ended
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Mar. 31, 2020
Intangible assets and goodwill |
Schedule of finite-lived intangible assets, net | The components of intangible assets were as follows (in thousands, except for useful life):
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ | ​ | Balance at March 31, 2020 | ​ | Balance at December 31, 2019
​ | ​ | Weighted- | ​ | Gross | ​ | ​ | ​ | Net | ​ | Gross | ​ | ​ | ​ | Net
​ | ​ | Average Useful | ​ | Carrying | ​ | Accumulated | ​ | Carrying | ​ | Carrying | ​ | Accumulated | ​ | Carrying
​ |  | Lives (Years) |  | Amount |  | Amortization |  | Amount |  | Amount |  | Amortization |  | Amount
Finite-lived intangible assets: |  | ​ | ​ |  | ​ | ​ |  | ​ | ​ |  | ​ | ​ |  | ​ | ​ |  | ​ | ​
Licensed IP | ​ | 12.5 | ​ | $ | 271,000 | ​ | $ | 82,556 | ​ | $ | 188,444 | ​ | $ | 271,000 | ​ | $ | 77,172 | ​ | $ | 193,828
Schedule of estimated aggregate amortization expense | Estimated aggregate amortization expense based on the current carrying value of amortizable intangible assets is as follows (in thousands): ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | Remainder of | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | 2020 | ​ | ​ | 2021 | ​ | ​ | 2022 | ​ | ​ | 2023 | ​ | ​ | 2024 | ​ | ​ | Thereafter
Amortization expense | $ | 16,152 | ​ | $ | 21,536 | ​ | $ | 21,536 | ​ | $ | 21,536 | ​ | $ | 21,536 | ​ | $ | 86,148

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