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There is no statutory limit on how long a window one has to sign a contract. This depends on the verbiage in the offer. For example:
1) If the offer is made with a deadline, then the party has until that deadline to accept the contract.
2) If the offer is made open-ended with no deadline, then the party has a reasonable time to accept the contract (what is reasonable is subjective).
3) If the party counter-offers, then this is seen as a rejection of the original contract offer.
These rules are under the Uniform Commercial Code and apply to merchant accounts, but also have generally found themselves permeate general contract doctrine as well.
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