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Intangible Assets | 3 Months Ended
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Mar. 31, 2024
Intangible Assets, Net (Excluding Goodwill) [Abstract] |
Intangible Assets | Intangible Assets Intangible assets as of March 31, 2024 and December 31, 2023 consist of the following:
|  |  | As of March 31, 2024 |  | As of December 31, 2023
(In thousands) | Useful Life (in years) |  | Gross Carrying Amount |  | Accumulated Amortization |  | Gross Carrying Amount |  | Accumulated Amortization
Acquired technology | 3 to 7 |  | $ | 43,634 |  |  | $ | 42,584 |  |  | $ | 43,869 |  |  | $ | 42,712 |
Customer relationships | 5 to 12 |  | 34,707 |  |  | 26,457 |  |  | 34,773 |  |  | 25,960 |
Patents, trademarks, and other | 10 to 20 |  | 13,113 |  |  | 12,267 |  |  | 13,103 |  |  | 12,241 |
Total |  |  | $ | 91,454 |  |  | $ | 81,308 |  |  | $ | 91,745 |  |  | $ | 80,913 |
Amortization expense was $0.7 million and $0.6 million for the three months ended March 31, 2024 and 2023, respectively. Amortization expense includes cost of sales amortization expense directly related to delivering cloud subscription revenue of $0.1 million and less than $0.1 million for the three months ended March 31, 2024 and 2023, respectively. Costs 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, 2024 and 2023.

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- Definition The entire disclosure for all or part of the information related to intangible assets. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 350 -SubTopic 30 -Name Accounting Standards Codification -Publisher FASB -URI https://asc.fasb.org//350-30/tableOfContent + Details
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