If no time for acceptance is specified in an offer, the offer terminates after a reasonable length of time.

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This principle is called the "doctrine of lapse." If no specific timeline is mentioned in the offer, then it is expected that the offeree will respond in a reasonable amount of time. If they fail to respond within a reasonable timeframe, the offer is considered to have lapsed or expired.

If No Time for Acceptance Is Specified in an Offer