Under what condition can an offense accept the results of a play involving an illegal player?

The offense can accept the results of a play involving an illegal player if the infraction is discovered before the next pitch. This is crucial because, in baseball, the integrity of the game relies on upholding the rules and player eligibility. If the illegal status of a player is revealed immediately after a play but before the next pitch, the offensive team has the right to make a decision: they can either take the result of the play or choose to nullify it and have the play declared dead.

This scenario ensures that the team at bat has control over how they wish to handle the situation upon discovering an infraction. It allows for a tactical decision that might benefit the offense, as they can choose to continue with the outcome of the play if it was favorable. If the infraction were to be acknowledged afterwards or during a play without such a window of opportunity, the offense would not have that choice and the game would continue under different circumstances.