It is definatly possible to get big and not sell out. Selling out isn't the process of gaining fans. Selling out is changing your musical style from one  way, to another, because one is more favored by the masses.
And example of a band that hasn't sold out, yet is still widely known... Rancid. When 'And Out Come the Wolves' came out, some people accused them of selling out, so what did they do? They produced an even more intense album that silenced all the bitches. Yet theya re still widely listened to as well as widely known by the general public.
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