Is FROSTED CUPCAKES, CLASSIC BUTTERCREAM FROSTING vegan?

cupcakes {sugar, bleached enriched wheat flour (flour, malted barley flour, niacin, reduced iron, thiamine mononitrate, riboflavin, folic acid), water, eggs, soybean oil, high fructose corn syrup, leavening (sodium acid pyrophosphate, baking soda, monocalcium phosphate, sodium aluminum phosphate, aluminum sulfate), nonfat milk, food starch-modified, salt, whey, soy lecithin, mono- and diglycerides, polyglycerol esters of fatty acids, propylene glycol monoesters of fats & fatty acids, xanthan gum, sodium carboxymethylcellulose, natural & artificial flavor, potassium sorbate (preservative), yellow cupcake [egg whites, wheat starch, palm and/or palm kernel oils, wheat protein, datem, polysorbate 60, glycerin, yellow 5 and 6, citric acid, sodium benzoate (preservative), carrageenan gum], chocolate cupcake [cocoa (processed with alkali), dextrose, sodium propionate (preservative), calcium sulfate, gum arabic]}, colored frosting [sugar, vegetable shortening (palm oil, soybean oil, mono and diglycerides, polysorbate 60), water, contains 2% or less of the following: corn syrup, artificial color, salt, natural and artificial flavor, natural flavor, potassium sorbate and sodium benzoate (preservatives), mono and diglycerides, guar gum, citric acid, water, sugar, us certified colors (red 40, red 3, yellow 5 and 6, blue 1 and 2), modified corn starch, vegetable gum, citric acid, sodium benzoate and potassium sorbate (preservatives)].

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