Mich. Comp. Laws § 750.335: Lewd and lascivious cohabitation and gross lewdness.

Sec. 335.

Any individual, married or unmarried, who is guilty of open and gross lewdness and lascivious behavior, is guilty of a misdemeanor punishable by imprisonment for not more than 1 year or a fine of not more than $1,000.00. No prosecution may be commenced under this section after 1 year from the time the offense was committed.