Terms of the deal with McClain announced Wednesday were not announced.
The 6-foot-2, 302-pound McClain has played eight NFL seasons with Atlanta, Washington, Dallas, Houston and Carolina. He had 17 tackles and a sack in 13 games, including five starts, with the Falcons last season.
A third-round draft pick out of South Florida by the Panthers in 2011, McClain has 127 tackles and 7 1/2 sacks in 87 career games.
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