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Richard Sherman has closed out his DUI case ... the ex-NFL star ended up getting deferred prosecution on Tuesday.

The former Seattle Seahawks cornerback appeared in a King County, Wash. courtroom, where the matter was wrapped up. Gallery Launch Gallery Getty

Prosecutors say in order to get the deferred prosecution, Sherman had to admit his actions on the night of his 2024 arrest were the result of a substance use disorder ... and he had to agree to undergo two years of treatment as a result.

Sherman also had to make an admission the police report against him "contains sufficient information to support a finding of guilt."

The deferred prosecution means Sherman will now be under a five-year probationary period ... during which time he must keep his nose clean or risk faci

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