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Goodwill and Intangible Assets, Net
9 Months Ended
Sep. 30, 2021
Goodwill and Intangible Assets Disclosure [Abstract]  
Goodwill and Intangible Assets, Net Goodwill and Intangible Assets, Net
The carrying value of goodwill was $6.2 million as of September 30, 2021 and December 31, 2020.
Acquired intangible assets consist of developed technology and customer relationships and are amortized on a straight-line basis over their estimated useful lives. The following tables summarize acquired intangible assets as of September 30, 2021 and December 31, 2020:

September 30, 2021
Gross AmountAccumulated AmortizationNet Carrying ValueWeighted Average Remaining Useful Life
(amounts in thousands)(in years)
Developed technology$10,496 $(8,157)$2,339 0.9
Customer relationships1,600 (954)646 1.7
Total$12,096 $(9,111)$2,985 
December 31, 2020
Gross AmountAccumulated AmortizationNet Carrying ValueWeighted Average Remaining Useful Life
(amounts in thousands)(in years)
Developed technology$10,496 $(5,218)$5,278 1.5
Customer relationships1,600 (655)945 2.4
Total$12,096 $(5,873)$6,223 
Total amortization of acquired intangible assets was $1.1 million and $1.1 million for the three months ended September 30, 2021 and 2020, respectively; and $3.3 million and $3.1 million for the nine months ended September 30, 2021 and 2020, respectively.
The Company recorded amortization of developed technology totaling $1.0 million and $1.0 million for the three months ended September 30, 2021 and 2020, respectively; and $3.0 million and $2.8 million for the nine months ended September 30, 2021 and 2020, respectively, as cost of revenue in each of the respective periods in the condensed consolidated statements of operations.
The Company recorded amortization of customer relationships totaling $0.1 million and $0.1 million for the three months ended September 30, 2021 and 2020, respectively, and $0.3 million and $0.3 million for the nine months ended September 30, 2021 and 2020, respectively as sales and marketing expense in each of the respective periods in the condensed consolidated statements of operations.
Expected future amortization expense related to acquired intangible assets is as follows (in thousands):
As of September 30,
Amortization Expense
2021 (remaining three months)$1,091 
20221,591 
2023303 
Total future amortization$2,985