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May I Invest as a non accredited investor?
Without knowing the specifics it is hard to give you a specific answer, but most likely the answer is no. If they limit the participation in the site to accredited investors, this is probably not something they are doing willingly, but rather imposed by regulators. Acredited investors have access to instruments that don't have the same level of regulatory protection & scrutiny as those offered to the general public, and are defined under Regulation D.  Examples of such securities are 144A Shares, or hedgefunds.