Ashton Kutcher and girlfriend Mila Kunis continued their strand of public appearances and public displays of affection on Monday morning as they went for an early walk around Los Angeles.

Kutcher and Kunis strolled down the street arm-in-arm as they took their dog for a walk around the neighborhood near Kutcher's home.

CLICK HERE to check out a set of photos of Ashton Kutcher and Mila Kunis taking an affectionate early morning walk in Los Angeles.

Kunis guzzled coffee and kept close to Kutcher as the paparazzi snapped photos of the couple. The "Black Swan" actress, who was recently named the Sexiest Woman Alive by Esquire magazine, looked casual in a black T-shirt, jeans, a loose grey sweater and knee-length black boots.

Kutcher wore dark trousers and a plaid button-up shirt, accenting his look with a bold red cardigan and matching sneakers. He topped the outfit off with a baseball cap.

Kutcher and Kunis may be all smiles about how public their relationship has become, but the same cannot be said for Kutcher's ex-wife, Demi Moore.

Moore, who will turn 50 next month, was hospitalized last year after Kutcher's public cheating scandal - and an alleged addiction to prescription medication - took its toll on her. Friends said they are worried she is not fully recovered and that Kutcher flaunting his relationship with Kunis is not helping.

"Her friends aren't convinced she's better," a source said, adding that Moore is "jealous and frustrated" by Kutcher dating Kunis.

But another friend close to Moore claimed it was not actually Kutcher's relationship with Kunis that is bothering her, but rather the ongoing pain from Kutcher cheating on her and the public fallout that followed.

"There's no part of her that's saying, 'Mila Kunis is so beautiful and young, this is so humiliating,'" the insider said. "What was humiliating was having her husband cheat on her in such a public way. But once that happened, she has not looked back."

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Ashton Kutcher, Mila kunis, Demi Moore