Carter was added by the Cowboys on Tuesday, a little more than two weeks after the Arizona Cardinals released him at the end of the preseason.
He was a sixth-round pick by Arizona in 2011. Carter has played in 32 games with four starts, recording 18 tackles and a sack.
Cohen signed with Dallas early in training camp and played in both regular-season games, getting one tackle and one pressure.
The Cowboys also released receiver Danny Coale from their practice squad and replaced him with receiver Jamar Newsome, who has played in eight games with Jacksonville and Kansas City.
AP NFL website: www.pro32.ap.org
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