SALT LAKE CITY — A federal appeals court on Monday dismissed a landmark decision that decriminalized polygamy in Utah, marking a legal defeat for the family from the reality TV show “Sister Wives.”

Kody Brown and his four wives cannot sue the state over its ban on plural marriages because the family never faced charges and local prosecutors later said they would not prosecute consenting adults with multiple wives, according to the 10th U.S. Circuit Court of Appeals in Denver.