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Intangible Assets and Liabilities
9 Months Ended
Sep. 30, 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:
September 30, 2022December 31, 2021
In thousandsGrossAccumulated
(Amortization) Accretion
NetGrossAccumulated
(Amortization) Accretion
Net
Intangible Assets
Core-developed technology$491,898 $(484,225)$7,673 $505,429 $(491,047)$14,382 
Customer contracts and relationships307,838 (247,555)60,283 336,421 (261,043)75,378 
Trademarks and trade names69,562 (67,416)2,146 74,551 (72,133)2,418 
Other12,011 (11,767)244 12,021 (11,670)351 
Total intangible assets
$881,309 $(810,963)$70,346 $928,422 $(835,893)$92,529 
Intangible Liabilities
Customer contracts and relationships$(23,900)$23,785 $(115)$(23,900)$23,441 $(459)

A summary of intangible assets and liabilities activity is as follows:
Nine Months Ended September 30,
In thousands20222021
Intangible assets, gross beginning balance$928,422 $1,000,037 
Effect of change in exchange rates(47,113)(21,109)
Intangible assets, gross ending balance$881,309 $978,928 
Intangible liabilities, gross beginning balance$(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 September 30, 2022)$6,457 $(115)$6,342 
202318,616 — 18,616 
202414,748 — 14,748 
202514,080 — 14,080 
202610,160 — 10,160 
Thereafter6,285 — 6,285 
Total intangible assets subject to amortization (accretion)$70,346 $(115)$70,231