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My interpretation of your comment is to literally save a list of URLs (in plaintext or html)

This plugin has "Copy all to clipboard" button which does that https://github.com/antonycourtney/tabli

That would be great if I could then open that file using a browser which would then load up those URLs.

Not exactly what you asked for, but for what it's worth Firefox will happily accept and open a list of URLs that you drag and drop from your text file into the browser. I just tried it.

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