@ritchlegrand There isn't currently a way to remove any items from your search history.
As a workaround, you can uninstall/reinstall the app on your iPhone to delete that content.
Feel free to upvote this existing feature request if you'd like to have the ability to do this with a "clear" button option: Clear Recent Search History
To upvote this idea, you can click on the ❤️ icon next to the title of the request.
Hope this helps!
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