optionally, you can use a seed as an argument and store it as a variable so pagination will get the see and go from there. This is a great way to achieve what you're looking for, but I think it won't work well if you're using cache plugins (well, it will work but the purpose of cache plugins would be defeated)
edit: sorry, now I see you want this to change every couple days, not per session, so just go with Transients API, it's done for this exact purpose
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