"Single men are invincible" could be a way to express "光棍都是无敌的" in English. However, if you're referring to the next line "光棍不光无敌,还自由自在" which translates to "Single men are not only invincible but also free and easy," you could say:

"Single men are not only invincible but also free and carefree in English."
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