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After all the things that have come upon the world-should we expect the people of the world to begin repenting and turning from their sins?

No. Only the great multitude whom God saved out of the great tribulation period can be expected to repent. As far as the rest of the billions of people of the world, here's what the Bible says will happen with them:

Revelation 9:20 And the rest of the men which were not killed by these plagues yet repented not of the works of their hands, that they should not worship devils, and idols of gold, and silver, and brass, and stone, and of wood: which neither can see, nor hear, nor walk:

21 Neither repented they of their murders, nor of their sorceries, nor of their fornication, nor of their theft

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