of course they do NOT prefer married men.. but sometimes it happens...
for instance, if she had to choose between successful, wealthy, full of energy, attractive married man and some miserable pessimistic looser who of course still single, she would most likely chose the first one.. and not because he is married, but due to who he is... and then the single unsuccessful guy jumps to conclusion that girls “prefer married men”...

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"What lies behind us and what lies before us are small compared to what lies within us."
Oliver Wendell Holmes