With the Amazone Dropshipper app I find myself having to add the shipping cost and my price myself because there aren't any price rules that I can set Takes too much time switching between my calculator and the app
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Regarding this concern, you could check out Amazon by CedCommerce app, which allow merchants to sync the Shopify store to Amazon to allow the selection of suitable promotions and pricing, categories, fulfillment... Here is the link to Amazon by CedCommerce app listing: https://apps.shopify.com/amazon-by-cedcommerce