NEW CANAAN, Conn. (CBSNewYork) – Today marks one month since Jennifer Dulos went missing in Connecticut.

The mother of five disappeared after dropping her children, ages 8 to 13, off at school on May 24 in New Canaan.

Connecticut State Police and K-9’s are sifting through tons of trash every day to find any trace of the 50-year-old woman.

(Credit: New Canaan Police Department)

Investigators say that same day, surveillance video from Hartford showed her estranged husband, Fotis Dulos, and his girlfriend, Michelle Troconis, throwing away garbage bags containing items with Jennifer Dulos’ blood on it.

For weeks, investigators have been at the city’s waste facility.

Fotis Dulos and Troconis were arrested earlier this month and charged with evidence tampering and hindering prosecution.

Both pleaded not guilty and are out on bail. Fotis Dulos was ordered to wear a GPS tracking device and surrender his passport.

On Monday, Fotis Dulos’ attorney, Norm Pattis, said Troconis still loves him and has filed court motions to clarify whether the two can be in contact.

Pattis also alleges Jennifer Dulos had the “imagination, means and motive” to disappear, comparing a book she wrote years ago to “Gone Girl,” a book and movie where a wife fakes her own disappearance and frames her husband as a prime suspect.

“We are continuing our investigation of Ms. Dulos’s disappearance, and believe it to be entirely consistent with the evidence to conclude that she was not a victim of foul play at the hands of third parties. Efforts to distance Ms. Dulos from a Gone Girl-type scenario are well-meaning, to be sure. But the fact remains that Ms. Dulos remains accountably ‘Gone,’ and had the imagination, means and motive to disappear,” Pattis said in a statement.

Carrie Luft, Jennifer Dulos’ friend and family spokesperson, rebuffed his theory, saying it “makes no sense.”

Luft says Jennifer Dulos wrote her book nearly two decades ago, before “Gone Girl” was published and before she was dating Fotis Dulos.

“Jennifer’s novel is not a mystery. It’s a character-driven story that follows a young woman through relationships and self-discovery over a period of years,” Luft said in a statement.

She went on to say, “Evidence shows that Jennifer was the victim of a violent attack in her New Canaan home.”

Investigators say Fotis Dulos’ DNA was found mixed with his wife’s blood on a kitchen faucet in that home. There was also blood spatter and clean-up attempts.

Jennfier Dulos’ family says they are heartbroken, and the “false and irresponsible allegations” hurt the children.

They remain in the custody of their grandmother in Manhattan while the investigation continues.

The New Canaan Police Department set up a website, FindJenniferDulos.com, where the public can submit tips.