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Fairley showed up on the Lions' injury report Wednesday as a non-participant in practice due to a shoulder injury.
It's unclear when the injury occurred as Fairley played 41 of the team's 55 defensive snaps. He was one of the leaders on defense for the Lions with 1.5 sacks, five tackles and a fumble recovery.
Fairley was placed on injured reserve and missed the final three games of last season with a shoulder injury. It's unknown if this is related or a different injury.
The Lions will release game designations for Sunday's game in Arizona on Friday.
Fox suffered a groin injury on the second series of last week's game and did not return.
Carey was injured after a making a special teams tackle.