In formal writing I would try to avoid all uses of singular "they". "he" was traditionally used but is now frowned upon when the *** is not definitely known to be male. I advocate "he or she", but try not to overuse it.
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AnonymousIn a formal written text (such as a book) which is more acceptable:If you get to point of writing a book, you will submit it to a publisher. The editors at the publishing house will have a policy on these kinds of things, and you will have to follow whatever they advise. It may vary from one publisher to another.