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Intangible assets, net (Tables) | 9 Months Ended
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Sep. 30, 2018
Goodwill and Intangible Assets Disclosure [Abstract] |
Intangible Assets Other than Goodwill | Intangible assets, other than goodwill, consist of the following:
(In thousands) |  | Amortization period |  | September 30, 2018 |  | December 31, 2017
Gross amount: |  |  |  |  |  |  |  |
Software developed for internal use |  | 3 years |  | $ | 4,254 |  |  | $ | 2,972 |
Acquired proprietary technology |  | 5 years |  | 11,459 |  |  | 11,382 |
Customer relationships |  | 7-10 years |  | 34,986 |  |  | 34,986 |
Trade names |  | 20 years |  | 16,357 |  |  | 16,357 |
Domain names |  | 20 years |  | 191 |  |  | 191 |
Databases |  | 5-10 years |  | 31,292 |  |  | 31,292 |
Non-competition agreements |  | 2-5 years |  | 1,768 |  |  | 1,768 |
Total gross amount |  |  |  | 100,307 |  |  | 98,948 |
Accumulated amortization: |  |  |  |  |  |  |  |
Software developed for internal use |  |  |  | (1,001 | ) |  | (490 | )
Acquired proprietary technology |  |  |  | (6,411 | ) |  | (4,693 | )
Customer relationships |  |  |  | (13,220 | ) |  | (9,628 | )
Trade names |  |  |  | (2,300 | ) |  | (1,686 | )
Domain names |  |  |  | (27 | ) |  | (20 | )
Databases |  |  |  | (9,670 | ) |  | (6,964 | )
Non-competition agreements |  |  |  | (1,613 | ) |  | (1,113 | )
Total accumulated amortization |  |  |  | (34,242 | ) |  | (24,594 | )
Net intangible assets: |  |  |  |  |  |  |  |
Software developed for internal use |  |  |  | 3,253 |  |  | 2,482 |
Acquired proprietary technology |  |  |  | 5,048 |  |  | 6,689 |
Customer relationships |  |  |  | 21,766 |  |  | 25,358 |
Trade names |  |  |  | 14,057 |  |  | 14,671 |
Domain names |  |  |  | 164 |  |  | 171 |
Databases |  |  |  | 21,622 |  |  | 24,328 |
Non-competition agreements |  |  |  | 155 |  |  | 655 |
Total net intangible assets |  |  |  | $ | 66,065 |  |  | $ | 74,354 |
Schedule of Estimated Amortization Expenses | As of September 30, 2018, estimated amortization expenses related to the Company's intangible assets for the remainder of 2018 through 2023 and thereafter are as follows:
(In thousands) |  |
Year |  | September 30, 2018
Remainder of 2018 |  | $ | 3,271 |
2019 |  | 13,083 |
2020 |  | 12,331 |
2021 |  | 9,190 |
2022 |  | 8,009 |
2023 and thereafter |  | 20,181 |
Total |  | $ | 66,065 |

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