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Goodwill and Acquired Intangible Assets, Net - Acquired Intangible Assets (Details) - USD ($) $ in Thousands | Sep. 30, 2022 | Dec. 31, 2021
--- | --- | ---
Acquired intangible assets, net: |  |
Cost | $ 98,930 | $ 98,930
Accumulated Amortization | 74,741 | 67,814
Total expected future amortization expense | 24,189 | 31,116
Developed technology |  |
Acquired intangible assets, net: |  |
Cost | 22,396 | 22,396
Accumulated Amortization | 20,646 | 20,029
Total expected future amortization expense | 1,750 | 2,367
Customer relationships |  |
Acquired intangible assets, net: |  |
Cost | 74,884 | 74,884
Accumulated Amortization | 52,448 | 46,157
Total expected future amortization expense | 22,436 | 28,727
Tradenames |  |
Acquired intangible assets, net: |  |
Cost | 1,650 | 1,650
Accumulated Amortization | 1,647 | 1,628
Total expected future amortization expense | $ 3 | $ 22

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