Any man or woman, not being married to each other, who lewdly and lasciviously associates and cohabits together, and any man or woman, 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 shall be commenced under this section after 1 year from the time of committing the offense.