Sister Wives Stars 'Knew There Would be Risks'

Sister Wives Stars 'Knew There Would be Risks'
Kody Brown and three of his wives

09/28/2010 AT 12:40 PM EDT

Their TV show, which premiered Sunday, arose police interest – and the Brown family of TLC's Sister Wives claim they were braced for it.

"We are disappointed in the announcement of an investigation, but when we decided to do this show, we knew there would be risks," the Browns said in a statement Tuesday. "But for the sake of our family, and most importantly, our kids, we felt it was a risk worth taking."

TLC had no comment.

As was reported Monday, police in Lehi, Utah, said they began looking into salesman Kody Brown and his four wives for a possible charge of felony bigamy before the new show – offering a glimpse into the everyday lives of the 18 members of the Brown family – even hit the airwaves.

"At the conclusion of the investigation, the evidence will be forwarded to the Utah County Attorney's Office for review and possible prosecution," said Lt. Darren Paul.

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