The answer really depends on your jurisdiction.
You could, via a “Self-Directed IRA” (SDIRA). However, strict rules apply.
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UBTI Tax: If the club deal uses debt (leverage), your IRA might owe “Unrelated Business Taxable Income” (UBTI) tax.
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Prohibited Transactions: You cannot invest in a deal where you or your family already control the asset. Always check with your tax advisor first.

