We know that the vast majority of ancient greek armies would have been gay from the accounts of the time, and from how Ancient Greek Society (Apart from Sparta which was unique) worked.
Ancient Greek women not unlike today's Arab and Muslim women were usually forced to stay inside the house at all times and completely isolated from any part of society. Ancient Greek Society was entirely male apart from the household, and in such a society homosexuality is common, the men where rarely with women, and you develop affection for the person you really spend your life with, not the person you see once a month (On top of being confined to the house women would also be confined to the womens quarters whenever there was company and that is where they usually slept to).
It is not an insult to say that Ancient Greek Society promoted homosexuality, if you have any doubt and don't feel like studying the society, just read Hypolytos.
The Romans on the other hand really where liberal, Roman Women where better of then women in most countries today in terms of laws and practices.
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