According to the Associated Press:
Kody Brown and his four wives want the high court to review an appeal court’s decision that upheld a unique provision of Utah’s polygamy law that bans cohabitation with other partners even if the man is legally married to just one woman.
The ruling overturned a previous legal victory for the Browns in which a lower court ruled the law violated polygamists’ right to privacy and religious freedom.
The appeals court decided in April that the Browns can’t sue because they weren’t charged under the Utah law. It didn’t consider the constitutional issues.