Although they've kept their relationship pretty quiet, Ashton Kutcher and Mila Kunis are showing major PDA in a new snapshot.

The Two and a Half Men actor uploaded a photo of the pair sharing a romantic kiss on his Instagram page with the caption "sunset #nofilter." In the picture, Kunis and Kutcher stand underneath a neon sign in Memphis, Tenn. that reads "Sun."

The photo comes two weeks after Kutcher's divorce with his ex-wife/actress Demi Moore was finalized. The two got married in 2005.

Following his breakup with Moore, Ashton began dating Kunis, who he met while on set of That '70s Show back in 1998. The former costars have been dating for nearly two years and are now rumored to be engaged. However, they have yet to confirm the rumors.

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While his relationship with Moore was highly publicized, Kutcher is taking a different approach with Kunis.

"You know, I've learned the hard way how valuable privacy is," Kutcher told Elle magazine in the March issue. "And I've learned that there are a lot of things in your life that really benefit from being private. And relationships are one of them. And I am going to do everything in my power to have this relationship be private."

When Kunis visited The Ellen DeGeneres Show in August, the host tried to get the actress to spill some details about her relationship. Although Kunis played it coy, she did reveal when the last time she spoke to Kutcher was.

"You know it's been, give or take, a couple of minutes," Kunis quipped.

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