Is CARROT CAKE CUPCAKES WITH CREAM CHEESE ICING, CARROT WITH CREAM CHEESE ICING vegan?

cake: sugar, carrots, enriched bleached flour (wheat flour, niacin, reduced iron, thiamine mononitrate, riboflavin, folic acid), soybean oil, eggs, egg whites, water, walnuts. contains 2% or less of: salt, spice, modified cornstarch, xanthan gum, leavening (sodium acid pyrophosphate, baking soda, corn starch, monocalcium phosphate), nonfat milk, dextrose, natural and artificial flavor, vital wheat gluten, emulsifiers (sorbitan monostearate, monoand diglycerides, polysorbate 60, sodium stearoyl lactylate, soy lecithin), sodium propionate (preservative), caramel color. icing: sugar, cream cheese (pasteurized milk and cream, cheese cultures, salt, carob bean gum, guar gum, xanthan gum), vegetable shortening (interesterified soybean, soybean oil, hydrogenated cottonseed oil, mono- and diglycerides, polysorbate 60). corn syrup, water. contains 2% or less of: salt, mono- and diglycerides, sorbitan monostearate, polysorbate 60, sodium stearoyl lactylate, dextrose, corn starch, natural and artificial flavors, xanthan gum, beta carotene (for color), citric acid, toppings: sugar, corn syrup, sweetened condensed skim milk (skim milk, sugar), water, palm oil, whey, heavy cream, contains 2% or less of: citric acid, disodium phosphate, mono- and diglycerides, natural and artificial flavor, nonfat milk, pectin, potassium sorbate (preservative) propylene glycol alginate, sulfites, pecans.,

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