A polygamous family featured on the TV series “Sister Wives” filed a request on Monday, September 12 for the U.S. Supreme Court to review their case regarding polygamy.

Kody Brown and his four wives are asking the Supreme Court to review a provision in Utah’s polygamy law that prohibits a man to live with his other partners despite being married to just one woman.

In 2013, Clark Waddoups, a Utah federal judge ruled the section of the state law that banned cohabitation with other partners even when he was legally married to just one woman unconstitutional, which proved to be a victory for the Browns. A lower court ruling, however, reversed Waddoup’s decision.

In April, the 10th Circuit Court of Appeals in Denver denied to reconsider the case, after which the Browns took the case up to the Supreme Court.

Brown is legally married to one wife, Robyn, while being “spiritually married” to the three other women he lives with. The Browns are members of the Apostolic United Brethren, a fundamentalist group of Mormons that affirms polygamy.

The Browns currently reside in Las Vegas, having moved from Lehi, Utah in 2011 after an investigation opened up regarding their polygamous practice.