pructus The underlined part seems to mean, "Why he had to go out". " is not right. e.
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pructusThe underlined part seems to mean, "Why he had to go out"."Why he had to go out?" is not right. I think you may mean "Why did he have to go out?"; i.e. why was he obliged to go out. In fact, "Why should he have gone out?" does not mean that. Compared to plain "Why did he go out?" it has an extra emphasis of questioning his reason or purpose, or the nec
pructusWhy should he have gone out?~ What reason would he have had to go out? (Implication: There was no reason for him to go out.)
pructusThe should/could/might, etc. is so not easy for non-natives...There are too many different ways of using those words. That's most of the problem.