How do people find Twitter accounts on the Wayback Machine?

So you know how you see sometimes someone's Twitter history is exposed by someone else doing a search through the Wayback Machine to find a long deleted tweet? I just tried that with a couple of my own accounts and friends' accounts, and the Wayback Machine didn't have any of them archived. It doesn't look like anyone who is not famous has their Twitter archived. So how do they do this anyways?

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