Gwen Stefani and Blake Shelton are shutting down the rumor mill without saying a word … stepping out for a grocery run and looking totally at ease together despite a wave of divorce rumors online.

The two were photographed Tuesday in Los Angeles while shopping at the upscale Italian market, Eataly … grabbing groceries side by side before heading out with smiles that didn’t leave much room for speculation.

Sources close to the couple tell TMZ … the talk is way off base, saying the pair is “completely baffled” by the divorce rumors. Our sources say they don’t even know where the rumors came from, but that they’re complete nonsense and they’re very happy together.

Taylor Swift and Blake Lively look like they are still on the outs … because they both went out Tuesday night in New York City … and Taylor was with a different blonde friend.

Check out these photos of the former besties, doing their separate things in the Big Apple … Taylor’s venturing out with fellow musician Este Haim, and Blake is promoting her brand at a holiday pop-up.

Taylor and her gal pal broke bread at Chez Margaux in the Meatpacking District … while Blake looked festive at an event in the West Village for her Blake Brown haircare brand’s collab with Stoney Clover Lane.

Taylor and Blake used to be super close, but their relationship fell apart when Blake dragged Taylor’s name into her legal beef with Justin Baldoni … and things haven’t been the same since.

Mitt Romney‘s sister-in-law’s cause of death has been released — she died by suicide, TMZ has learned.

The L.A. County Medical Examiner determined 64-year-old Carrie Elizabeth Romney died from blunt traumatic injuries after falling from the rooftop of a parking structure in Valencia, California, north of Los Angeles, back in October.

Carrie was in the midst of a divorce when she tragically died — her husband, Scott, had filed back in June, citing “irreconcilable differences.”