The demo day put on by Techstars Boston used to be a good way to get a glimpse of Boston’s most promising startups. The program launched in 2009, and originally, nearly every startup was based in the Boston area — or at least had moved here to test the waters while participating in the three-month “accelerator” program, which is designed to provide early funding, connections and mentorship to fledgling companies.

But in recent years, the demo day — when company founders deliver short pitches for an audience, hoping to raise additional money — has featured more companies from outside the state than inside it.

That was true on Tuesday afternoon, when seven companies presented. Just two were based locally, but others traveled from California, Utah, and Texas to participate in the program,

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