Food Coloring can be made naturally or, much like motor oil, it can be synthetic and made in a lab and loaded with preservatives to keep it stable.
You can do a search on Google for what natural food coloring is made of and then decide whether you want to vape it or not

. As an example, red dye or food coloring is often made from the cochineal insect, green is often made from chlorella algae, caramel coloring (used in many extracts and some flavoring) is made from caramelized sugar and so on. Personally I'd skip it using food coloring altogether and if there is the option to avoid it.
That said, Nicotine can fool you into thinking there's food coloring in your e-liquid when there's really not. As it oxidizes (from exposure to air and light), it'll react with the flavoring and deepen the color of the liquid. That, to me, is fine and a natural reaction, but as far as additives, I'll pass

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