Hi, I know nothing about slim and save so I did a quick search. I can't say whether or not you will stay in ketosis with this plan but when you eat that low in calories, you will lose weight regardless of what you eat. It doesn't matter if you are ketosis or not, you will lose weight. Whether it's healthy or not is another question. On that site it says you should be monitored by a doctor when doing very low calories, are you being monitored? I tried to find the nutritional information and ingredients for the shakes and I couldn't find that. Don't eliminate food, if you are doing 800 calories now, that's extremely low already. I really strongly suggest to be monitored by a doctor is you aren't already especially because its an extremely low calorie diet and that you have a lot of weight to lose. I do wish you the best of luck!
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