Discuss and resolve questions on Liquid, JavaScript, themes, sales channels, and site speed enhancements.
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Dear,
i set the social sharing image preview to my store, but the picture is not appear when searching for the website>
Can you share the shop url and what you see when searching? Without seeing the problem it becomes very hard to point you in a direction to solve.
You should update the Title and meta description in Online Store => Preference. Also, Google doesn't update the search results in real time. So you have to submit a sitemap in Google Search Console if you want to speed up the index update process.