Ask HN: Can someone with no visa (or wrong visa) create a Corp or LLC in USA?

Just curious, can someone with no visa (or wrong visa - tourist, F1 international student, or even with H1 Foreign Worker) create a Corp or LLC in US?

If so, how can the founder of the LLC or Corp continue to stay in the US? Does it mean creating an LLC or Corp in US guarantee the founder a work visa? Or they still need to find visa sponsors?

Thanks.