Ingredients: Water, Carrot Juice from Concentrate (Water, Carrot Juice Concentrate), Fruit Juices from Concentrate (Water, Apple Juice Concentrate, Pineapple Juice Concentrate, Kiwi Juice Concentrate, Lime Juice Concentrate), Contains less than 2 % of the following: Malic Acid, Natural Flavoring, Mango Puree Concentrate, Potassium Citrate, Vitamin C (Ascorbic Acid), Vitamin E (Alpha Tocopheryl Acetate), Beta Carotene, Sucralose (Splenda Brand) a Non-nutritive Sweetener, Acesulfame Potassium.
I would think they would be allowed as long as you count the 10 calories toward your daily Sweet Treat allowances, but you're not getting much nutritional bang for your buck. I'd rather eat my fruits and veggies.
Technically, I don't think fruit juices are allowed on SB Phase II, only whole fruit, but I don't think there's very much in there with the low calorie level. I think most of the vitamins in it are additives, so you could get the same value from popping a multivitamin.
ETA: No stoning allowed on this forum!