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Goodwill and Intangible Assets
9 Months Ended
Sep. 30, 2021
Goodwill and Intangible Assets Disclosure [Abstract]  
Goodwill and Intangible Assets Goodwill and Intangible Assets
Changes in the carrying amount of goodwill for the nine months ended September 30, 2021 and the year ended December 31, 2020 were as follows:
(in thousands)September 30, 2021December 31, 2020
Beginning balance$6,925$6,323
Foreign currency translation
(356)602
Ending balance$6,569$6,925

The Company’s intangible assets at September 30, 2021 and December 31, 2020 consisted of the following:
September 30, 2021December 31, 2020
(in thousands)Gross Carrying
Amount
Accumulated
Amortization
NetGross Carrying
Amount
Accumulated
Amortization
Net
Intangible assets with finite lives:
Developed technology$798,198($283,880)$514,318$798,260($254,629)$543,631
Customer relationships20,145(6,835)13,31019,072(4,042)15,030
Software10,946(9,965)98110,865(9,693)1,172
Trade name3,738(374)3,364
Other100(87)13100(75)25
Total intangible assets with finite lives833,127(301,141)531,986828,297(268,439)559,858
Intangible assets with indefinite lives:
Trade name23,40023,40027,34327,343
Service provider network2,0002,0002,0002,000
Total intangible assets with indefinite lives25,40025,40029,34329,343
Total intangible assets$858,527($301,141)$557,386$857,640($268,439)$589,201

During the three months ended September 30, 2021, the Company reclassified $3.7 million of trade name to finite-lived intangibles as the Company began marketing Tecnidex under the AgroFresh trade name. The Tecnidex trade name is still held as a defensive asset and is being amortized over its estimated useful life of 2.5 years, resulting in $0.4 million of amortization expense recognized during the three months ended September 30, 2021.

At September 30, 2021, the weighted-average amortization periods remaining for developed technology, customer relationships, software, trade name and other was 13.8, 10.7, 2.1, 2.3 and 0.8 years, respectively, and the weighted-average amortization periods remaining for these finite-lived intangible assets was 13.6 years.

Estimated annual amortization expense for finite-lived intangible assets subsequent to September 30, 2021 is as follows:
(in thousands)Amount
2021 (remaining)$10,729
202242,619
202342,503
202440,845
202540,621
Thereafter354,669
Total$531,986
Amortization expense for intangible assets was $10.8 million and $11.0 million for the three months ended September 30, 2021 and 2020, respectively and $32.1 million and $32.9 million for the nine months ended September 30, 2021 and 2020, respectively.