1. el mundo no se acaba = the world doesn't end.
2. el mundo no acaba = the world doesn't finish.
The "se" indicates the world as the object that is "not ending" as appose to the second sentence that makes the "world" as the subject that is performing the action, but this sentence is an incomplete thought. It doesn't sound right.
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March 24, 2016
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What is the differene between -에 대하다, 관하다 and 관련하다