The absolute minimum for an investment varies from deal to deal. Sometimes blocks of shares cannot be broken up into smaller sizes. Generally, $50,000 is the minimum but this can be flexible.
Shares are not locked so long as you resell them privately, but a sale is not guaranteed. That means there are no restrictions on the securities you buy - you own them. However, should a negative event occur, liquidity may dry up and you would not be able to find buyers (and there are no 'market makers' in private equity markets).
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