The team had until 4 p.m. Monday to lift the roster exemptions while both missed time for violating the NFL's substance abuse policy.
The Patriots signed the 6-foot-4 Browner after he started all 38 games he played in with the Seattle Seahawks the past three seasons. He is expected to provide a physical presence in the secondary. Tyms had a solid training camp with the Patriots after catching two passes in seven games with the Cleveland Browns last season.
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