That’s right they can and they would know that canceling shares and buying them back or not the same thing. Canceling shares consist of taking excess shares from the authorized and returning them to the treasury to cancel and remove from the AS. Buy back consist of buying shares over the market and can be resold. In order for an SEC reporting company to do any type of share buyback they must notify Existing shareholders of their intentions and also be able to prove they have current funds that are not borrowed.
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