pepe
Absolutely NOT!
While
Liver Flushes are great the whole idea of juice fasting is to give the digestive system a rest and allow it to cleanse. Then there is the issue that in a juice fast one is not consuming fats/oils and bile production is minimal. Throwing a bunch oil down your gullet in a middle of ANY fast will put a screeching stop to the rest/cleansing process and has a high probability to make you violently ill.
We spend lifetimes putting crap in our systems and you are not going to get it out all at once. Cleanses, Flushes etc should be done separate to allow them to work as intended and at their most efficient and also to allow the system to adjust to each.
"Ideally" one should wait till after any fast till ones eliminations are back to normal and have started consuming some fats to produce bile thus making for a more productive liver flush.