Ashton Kutcher Visited Demi Moore: Source
03/03/2012 AT 10:00 AM EST
The Two and a Half Men star has visited since her hospital stay, but "they are not getting back together," according to the source.
He went because "he knew it was important to her daughters," says the source. Moore has three girls with ex-husband Bruce Willis. Daughter Rumer, 23, remains especially close with Kutcher despite his split from Moore.
Still, Kutcher has continued to move forward with his life. On Thursday night, he stepped out to help fete Two and a Half Men creator Chuck Lorre – just as multiple sources confirmed to PEOPLE that Moore has left treatment.
A clean-shaven Kutcher, 34, kept a low profile by skipping the press area and heading straight for his front-row table inside the Beverly Hills Hotel ballroom for the Television Academy's 21st Annual Hall of Fame Ceremony, sponsored by Grey Goose.
Sharing laughs with Men costar Jon Cryer, who hosted the evening, Kutcher munched on the crunchy breadsticks, while pointing to them and pointing at Cryer with a thumbs up.