A thorough scientific analysis would reveal that the "stones" resulting from a "liver flush" are produced by a saponification process, composed mostly of the olive oil you've ingested and colored by bile present in the intestine. The "liver flush" acts totally within the intestine and has no effect whatsoever on the liver. Extracting large stones from the liver or gall bladder is impossible without surgical intervention. I have seen dozens of examples of gall bladder stones and not one of them was soft.
Why are so many so enamored by this unpleasant experience of swallowing unusual liquids and examining their fecal output? Is it a strange form of anal fixation?