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Lit., "and [ordained] that His name ...", etc.: implying, as the sequence shows, that the spiritual purpose of those houses of worship is fulfilled only by some, and not all, of the people who are wont to congregate in them out of habit.
The punctuation of the Arabic text makes it necessary to carry back the adverbial clause "in houses", to something in the last verse, say "Lit from a blessed Tree",-the intervening clauses being treated as parenthetical.
That is, in all places of pure worship; but some Commentators understand special Mosques, such as the Ka'ba in Makkah or Mosques in Madinah or Jerusalem; for these are specially held in honour.
In the evenings: the Arabic word is Asal, a plural of a plural, to imply emphasis: I have rendered that shade of meaning by adding the words "again and again".