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The description for the cookie jar option is here: curl - How To Use
Simply put, curl stores any cookies the server sent in its HTTP responses there. This is basically what your browser would do, too, and is useful if what you want to do requires using cookies, like some login processes.
To the client cookies are just text which it stores under specific names. The meaning depends on the server. If you want to figure it out you’ll essentially have to reverse-engineer. For starters, the first one in your example looks like it might be hex, the other two could be base64 encoded (assuming all the Xs are to censor private values). Try to decode and see what you can find out!
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