You could apply for "visitor's" visa accompanied by an INA section 212(h) "waver" to "waive" your drug conviction based inadmissibility ground(s). The (realistic) chances of USCIS approving that waiver are not very high, however, unless you hired the best immigration immigration attorney money could buy.. Even then the approval of the waiver, which is totally discretionary is never guaranteed...
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You are out of luck and out of options unless the first conviction or both happened prior to your 18th birthday.
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Your only option is to try to vacate one or both of the marihuana convictions. You need to hire a criminal defense lawyer in the state where the convictions happened.
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