On the Site Settings page of your Run website, you can control what shows up when someone shares a link to your website. Under the "SEO & Social Sharing" section, set your Title, Description, and Share Image. This information will also control what shows up on search engines and when links are sent via messaging apps, like iMessage.

Any information on your Site Settings page will be the default information that shows up when any of your individual site pages are shared as well.

Sharing information can also be set on individual pages by navigating to the page, then clicking Page Settings, and setting that information on the sidebar.

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Social media platforms like Facebook and X/Twitter will cache share information, such that updating it on your website won't quickly update it when it's shared on a social platform. If you're in a rush to update it, one option is to change the Slug of the page, also on the Page Settings sidebar. When the updated link is shared, the social platform will refetch the share information from your website.

You can also use Facebook's Share Debugger, to see what Facebook is seeing without actually sharing a link: https://developers.facebook.com/tools/debug