Whenever Ozzy accurately guesses "double exposure", his son always corrects him that it's not possible with digital cameras. Of course it is! The video is passed through a video editor where one clip is super-imposed upon another one. YouTube video editors have been making fan music videos since the beginning of the site's creation, using Windows Movie Maker and sliding the new clip left, smack onto the clip that was first added and sitting left of the window pane. That is how digital double exposure is made.
In Playing With Dolls, Jack calls his mother a prostitute! They talk about England, Jack explains that SoHo is their "red light" district; then his mother makes a comment about the mist in the corridor clip, and Jack tells her "and you know the SoHo hallways very well", to which his mother laughs. She later realizes what he called her, and tells him to shut it.
A lot of the footage they air is blurred under 140p. Oftentimes, the image is completely black, and shifting pixelation is where they claim "apparition" or "ghosts". Neither down-to-earth Sharon nor no-nonsense Ozzy ever seem to be bothered by it, as neither ever mentions the absurdity of trying to find ghosts in such poor image quality, particularly in 2021 when all cameras take crystal clear footage. (It is blurred on purpose, by the production, as seen on Paranormal Caught on Camera.) It's indeed implausible that anyone in 2021 uses such obsolete video cameras, let alone every single submitted video clip be that blurry.
Sharon Osbourne is always giving 9 ratings to bogus footage that has been previously debunked. The dogs and cats appearing and disappearing in night cams are nothing more than trick photography: those homeowners' cameras only record images every few seconds, with pauses in between. This creates a well-known "disappear effect". Yet, every time this show presents such footage, and every time Sharon falls for it.
Besides dogs and cats disappearing in people's front yards, the cameras with intermittent pauses---that record footage that seems to make objects disappear---are also widely used in Japan. They are behind the phenomenon of perceived "ghosts", i.e. disappearing people in phone booths, people walking across the street and seemingly getting hit by traffic, shadows appearing behind glass doors but no one there when someone opens the door, as well as the infamous clip of the so-called female ghost walking behind the man who gets in a cab in Japan.