Best sellers option is driven by the number of products ordered and there is no out of the box functionality in Shopify to adjust the logic.
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The bestsellinglogic is based on the number of times a particular product has appeared in orders since the beginning of your store. Just wanted to add that caveat: best selling logic looks at the sales history of your store for all time, not like a 30 or 60 day window, in case you were wondering.