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The three-run rule is in place to ensure that the game is still competitive and that the relief pitcher has a meaningful impact on securing the victory. If a team has a lead of more than three runs when the relief pitcher enters the game, the situation may be considered less high-pressure, and the pitcher might not face as much adversity. By limiting the lead to three runs, it increases the significance of the save statistic and reflects the idea that the relief pitcher played a crucial role in protecting a relatively close lead. The specific criteria for earning a save are outlined in Rule 10.19 of the Major League Baseball rulebook. In addition to the three-run rule, a relief pitcher can earn a save in various other situations, such as entering the game with the tying run in the on-deck circle, throwing at least three innings in relief, or pitching effectively in a specific set of circumstances defined by the rules. The save statistic is designed to recognize the efforts of relief pitchers in preserving victories for their teams.