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Fuels are mostly hydrocarbons and those are hydrophobic and lipophilic. i.e they dissolve greasy/fatty things and your skin contains oils (which the fuel dissolves and thus strips out) and your cells are basically bags of water where the bag part (cell membrane) is made up of phospholipids (basically a type of fat) so that gets degraded too. None of that is good for your skin.
Ah, makes sense. Thanks.