Mila Kunis, real-life fiancee and baby mama to Ashton Kutcher, is appearing on “Two and a Half Men” Thursday (April 10) as Vivian, a free-spirited world traveler with whom Kutcher’s Walden feels an instant connection. The problem is he’s about to propose to Kate (Brooke D’Orsay).

CBS has released clips of Kunis’ appearance. Above, things get a little meta with Walden saying he never dates actresses because “they’re all crazy,” and Vivian making a pointed remark to him about a sex tape that “no one will ever, ever see.”

Below, Vivian is taking her leave of Walden and she can’t even give him her number because she’s a drifter who doesn’t have a phone.

What will become of these two crazy kids? Kunis guest stars on “Two and a Half Men” Thursday at 9 p.m. ET/PT on CBS.