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Intangibles (Net of Amortization) and Goodwill
9 Months Ended
Sep. 30, 2018
Goodwill and Intangible Assets Disclosure [Abstract]  
Intangibles (Net of Amortization) and Goodwill
Intangibles (Net of Amortization) and Goodwill

The net carrying amount of intangibles and goodwill was $138 million at September 30, 2018 and $144 million at December 31, 2017. The gross carrying amount and accumulated amortization of each type of intangible asset and goodwill are presented in the table below.
 
 
September 30, 2018
 
December 31, 2017
(in thousands)
 
Gross
Carrying
Amount
 
Accumulated
Amortization
 
Gross
Carrying
Amount
 
Accumulated
Amortization
Amortizing intangible assets
 
 
 
 
 
 
 
 
Formulas and technology
 
$
9,600

 
$
2,708

 
$
12,339

 
$
3,280

Contract
 
2,000

 
350

 
2,000

 
200

Customer bases
 
14,240

 
8,214

 
15,759

 
5,140

Trademarks and trade names
 
0

 
0

 
1,531

 
1,213

Goodwill
 
122,965

 
 
 
122,541

 
 
 
 
$
148,805

 
$
11,272

 
$
154,170

 
$
9,833


All of the intangibles relate to the petroleum additives segment. The change in the gross carrying amount between December 31, 2017 and September 30, 2018 is due to disposal of certain intangible assets, an immaterial adjustment to goodwill related to AMSA, and foreign currency fluctuation. See Note 2 for more information on the AMSA acquisition. There is no accumulated goodwill impairment.
Amortization expense was (in thousands):
Third quarter ended September 30, 2018
$
1,470

Nine months ended September 30, 2018
5,944

Third quarter ended September 30, 2017
928

Nine months ended September 30, 2017
1,364



Estimated amortization expense for the remainder of 2018, as well as estimated annual amortization expense related to our intangible assets for the next five years, is expected to be (in thousands):
2018
$
1,467

2019
4,207

2020
2,907

2021
2,156

2022
1,423

2023
907



We amortize contracts over 10 years; customer bases over 4 to 20 years; and formulas and technology over 3 to 6 years.