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Intangible Assets and Liabilities
 12 Months Ended
Dec. 31, 2023
Intangible Assets, Net (Excluding Goodwill) [Abstract]  
Intangible Assets and Liabilities Intangible Assets and Liabilities
The gross carrying amount and accumulated amortization (accretion) of our intangible assets and liabilities, other than goodwill, were as follows:
December 31, 2023December 31, 2022
In thousandsGrossAccumulated
(Amortization) Accretion		NetGrossAccumulated
(Amortization) Accretion		Net
Intangible Assets
Core-developed technology$502,010 $(499,571)$2,439 $498,601 $(492,782)$5,819 
Customer contracts and relationships329,688 (287,653)42,035 322,360 (265,503)56,857 
Trademarks and trade names73,461 (71,740)1,721 72,156 (70,101)2,055 
Other12,019 (11,932)87 12,017 (11,807)210 
Total intangible assets$917,178 $(870,896)$46,282 $905,134 $(840,193)$64,941 
Intangible Liabilities
Customer contracts and relationships$(23,900)$23,900 $— $(23,900)$23,900 $— 

A summary of intangible assets and liabilities activity is as follows:
Year Ended December 31,
In thousands20232022
Intangible assets, gross beginning balance$905,134 $928,422 
Effect of change in exchange rates12,044 (23,288)
Intangible assets, gross ending balance$917,178 $905,134 
Intangible liabilities, gross beginning balance$(23,900)$(23,900)
Effect of change in exchange rates— — 
Intangible liabilities, gross ending balance$(23,900)$(23,900)

Assumed intangible liabilities reflect the present value of the projected cash outflows for an existing contract where remaining costs were expected to exceed projected revenues.

Estimated future annual amortization is as follows:
Year Ending December 31,Estimated Annual Amortization
In thousands
2024$15,164 
202514,403 
202610,369 
20275,636 
2028181 
Thereafter529 
Total intangible assets subject to amortization$46,282 

Amortization ExpenseYear Ended December 31,
In thousands202320222021
Amortization expense$18,918 $25,717 $35,801 

We have recognized amortization expense within operating expenses in the Consolidated Statements of Operations. These expenses relate to intangible assets acquired and liabilities assumed as part of business combinations.