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It was an ancient tradition for the Tanshan Sect's Sect Leader not to come from the Sword Pavilion. The Sword Pavilion was too strong, if the people from the Sword Pavilion were to become the Sect Leader, the other branches would never have a chance to shine.
However, the real culprit behind Tanshan Sect's words was the Sword Pavilion Master. This was a publicly recognized and embarrassing fact