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Goodwill and Intangible Assets
6 Months Ended
Jun. 30, 2021
Goodwill and Intangible Assets Disclosure [Abstract]  
Goodwill and Intangible Assets . Goodwill and Intangible Assets
Goodwill
The following table reflects the changes in goodwill for the periods ended December 31, 2020, December 31, 2019 and March 31, 2021:
(in thousands)
Balance at December 31, 2018$832,521 
Acquisitions11,257 
Foreign currency translation and other adjustments (7,135)
Balance at December 31, 2019$836,643 
Foreign currency translation37,440 
Balance at December 31, 2020$874,083 
Foreign currency translation(18,505)
Balance at March 31, 2021 (unaudited)$855,578 
The goodwill from acquisitions resulted primarily from our expectations that we will now be able to offer our customers additional software solutions in new markets. Additionally, we expect the acquisitions will attract new customers for our entire line of software solutions.
Intangible Assets
Intangible assets, net consisted of the following at December 31, 2020, December 31, 2019 and March 31, 2021:
December 31, 2020December 31, 2019
Gross
Carrying
Amount
Accumulated
Amortization
NetGross
Carrying
Amount
Accumulated
Amortization
Net
(in thousands)
Developed product technologies$127,057 $(119,392)$7,665 $124,792 $(93,351)$31,441 
Customer relationships131,045 (111,336)19,709 126,788 (83,545)43,243 
Trademarks1,162 (1,162)— 1,402 (1,312)90 
Total intangible assets, net$259,264 $(231,890)$27,374 $252,982 $(178,208)$74,774 
Intangible asset amortization expense was as follows:
Year Ended December 31,
202020192018
(in thousands)
Intangible asset amortization expense$48,105 $47,289 $50,168 
As of December 31, 2020, we estimate aggregate intangible asset amortization expense to be as follows:
Estimated Amortization
(in thousands)
2021$19,182 
20227,637 
2023555 
2024— 
2025— 
The expected amortization expense is an estimate. Actual amounts of amortization expense may differ from estimated amounts due to additional intangible asset acquisitions, changes in foreign currency exchange rates, impairment of intangible assets, future changes to expected asset lives of intangible assets and other events.