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Intangible Assets and Liabilities
 3 Months Ended
Mar. 31, 2022
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:
March 31, 2022December 31, 2021
In thousandsGrossAccumulated
(Amortization) Accretion		NetGrossAccumulated
(Amortization) Accretion		Net
Intangible Assets
Core-developed technology$503,866 $(491,687)$12,179 $505,429 $(491,047)$14,382 
Customer contracts and relationships333,023 (262,332)70,691 336,421 (261,043)75,378 
Trademarks and trade names73,935 (71,607)2,328 74,551 (72,133)2,418 
Other12,020 (11,704)316 12,021 (11,670)351 
Total intangible assets
$922,844 $(837,330)$85,514 $928,422 $(835,893)$92,529 
Intangible Liabilities
Customer contracts and relationships$(23,900)$23,556 $(344)$(23,900)$23,441 $(459)

A summary of intangible assets and liabilities activity is as follows:
Three Months Ended March 31,
In thousands20222021
Intangible assets, gross beginning balance$928,422 $1,000,037 
Effect of change in exchange rates(5,578)(16,404)
Intangible assets, gross ending balance$922,844 $983,633 
Intangible liabilities, gross beginning balance$(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 are expected to exceed projected revenues.

Estimated future annual amortization (accretion) is as follows:
Year Ending December 31,AmortizationAccretionEstimated Annual Amortization, net
In thousands
2022 (amount remaining at March 31, 2022)$19,936 $(344)$19,592 
202319,203 — 19,203 
202415,223 — 15,223 
202514,448 — 14,448 
202610,398 — 10,398 
Thereafter6,306 — 6,306 
Total intangible assets subject to amortization (accretion)$85,514 $(344)$85,170