So you say that stones are the biochemical result of bile flowing into the small intestine? But this is a normal part of digestion.
You have bile and olive oil. Bile emulsifies oil.
The way that (most) stones form is inside the gallbladder. One of the functions of this tiny organ is to store and concentrate bile. In some people bile sometimes becomes overly saturated (super-saturated). Choleserol Gallstones are the result.
Now you might say that stones are *formed* by the process of liverflushing. I would say possibly. But even then I would say stones are formed *inside* the gallbladder.