Arizona lawmakers consider sex doll bill Child trafficking bill returns after CA Democrats relent CalMatters Proposed California Bill Would Eliminate Statute of Limitations for Child Sex Abuse Cases Although there are no laws or regulations banning the import of sex dolls, hundreds, and perhaps thousands, have been seized by the customs, which cited a clause in the law that bans AG Coleman is upholding a statute that bans possession of child sex dolls and computer generated sexual material that includes identifiable children.