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Intangible Assets, net | 3 Months Ended
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Mar. 31, 2025
Intangible Assets, Net (Excluding Goodwill) [Abstract] |
Intangible Assets, net | Intangible Assets, net Intangible assets, net as of March 31, 2025 and December 31, 2024 consist of the following:
|  |  | As of March 31, 2025 |  | As of December 31, 2024
(In thousands) | Useful Life (in years) |  | Gross Carrying Amount |  | Accumulated Amortization |  | Gross Carrying Amount |  | Accumulated Amortization
Customer relationships | 5 to 12 |  | $ | 34,897 |  |  | $ | 28,897 |  |  | $ | 34,653 |  |  | $ | 28,091 |
Patents, trademarks, and other | 10 to 20 |  | 13,364 |  |  | 12,441 |  |  | 13,356 |  |  | 12,437 |
Total |  |  | $ | 48,261 |  |  | $ | 41,338 |  |  | $ | 48,009 |  |  | $ | 40,528 |
Amortization expense was $0.6 million and $0.7 million for the three months ended March 31, 2025 and 2024, respectively. Amortization expense includes cost of sales amortization expense directly related to delivering cloud subscription revenue of $0 and $0.1 million for the three months ended March 31, 2025 and 2024, respectively, and are recorded in "Services and other cost of goods sold" on the condensed consolidated statements of operations. Certain intangible assets are denominated in functional currencies besides the U.S. dollar and are subject to currency fluctuations. There was no impairment of intangible assets recorded during the three months ended March 31, 2025 and 2024.

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