When they remove gallbladder, they usually close cystic duct at 2 different narow point, and they cut cystic duct.
With or without gallbladder, to exit liver and reach duodenum, the stones still have to travel through common bile duct.
Epsom Salts is good for many reason, and relaxing bile ducts is only one of those.
Very important reason is that Epsom Salts promote diarrhea- flush bowel, also Epsom salts prevent absorbtion of bile into blood stream, and Epsom salts promote bile formation and excretion, so that same efect of Liver Flush can be achieved with less olive oil.