The Trolls that were running about in the daylight were not ordinary Trolls, they were bred especially by Sauron and were called 'Olog-hai'. They were not afraid of daylight and could survive it because they were driven by the will of Sauron. When he perished, they became purposeless and simply wandered, and eventually all perished or were slain.
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For forty days and forty nights
They rode through red blood to the knee
And they saw neither sun nor moon
But heard the roaring of the sea
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