I you follow the principles of the liver-flush: that you expel bile and then poo it away. If you ignore the biliary dilation factor then how will you expel the bile without taking a laxative? It is recommended that one drinks a 'natural' laxative tea the following morning.
The alternative to the Clark/Moritz type of protocols is the Sandra Cabot approach where one eats food rich in soluble fibre to renew the bile and consequently cleanse the liver.
I have taken olive oil and lemon juice on its own in the mornings for a week. Using a whole non waxed lemon or half grapefruit and 4/5 tablespoons of olive oil, blended together. There are many variations of this protocol. Some recommend consuming the potion in the morning and evening, some to sip it throughout the day.