I do not think that Moria was ever in Sauron's hands. You might want to change that. Sauron couldnt control the balrog so he just left Moria alone. Even the Moria orcs didnt seem to loyal to Sauron. They seemed content to remain in the darkness of Khazad-dum.
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He came unto the timeless halls where shining fall the countless years and endless reigns the Elder King in Ilmarin on Mountain sheer
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