I'm so Oily!!!!

I am a fruit faster. I would fast on juice but I don't have a place to plug in my juicer yet. Probably fast on juice when I get my own place....

Well, my question is about oilyness.
When I fast on fruit I get OILY -- totally lubed up, if you will. It's partly to do with my liver, MAYBE high glycemic index foods, and of course it's accumulated toxins and rancid oils and excessive vitamins coming out,
But....
Do water fasters go oily when they fast?
Then it would be a result of detoxing. But I plainly remember Water Fasting years ago and having the driest skin I've ever had.

Do you think Water Fasting clears oily skin? and
prevents it? and
WHY don't you get oily when you water fast,
but you do on fruit/juice????

THIS QUESTION NEEDS EXPLAINING....