CHICAGO — Caleb Williams threw for three touchdowns, and the Bears beat the Pittsburgh Steelers 31-28 in a matchup of division leaders on Sunday with Chicago’s old nemesis Aaron Rodgers sidelined by a broken left wrist.

Rodgers is 25-5 against the Bears from his long tenure in Green Bay. He once famously turned to the crowd at Soldier Field and screamed that he still owns Chicago. But the four-time MVP didn’t get the chance to show if that’s still the case.

Rodgers, who turns 42 on Dec. 2, was hurt in the second quarter of a 34-12 win over Cincinnati last week. He wore a brace when he practiced Friday on a limited basis, but the Steelers (6-5) went with Mason Rudolph in his place and fell into a first-place tie with Baltimore in the AFC North.

The NFC North-leading Bears (8-3) won for t

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