Free domain registration and hosting with 1&1 IONOS
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Free domain names
That being said, with 1&1 IONOS web hosting packages, you will always receive one free domain. You can absolutely register a .com domain for free when signing up for your 1&1 IONOS hosting package. So, in this sense, yes 1&1 IONOS does offer a .com domain free with each hosting package, if that is the domain extension that you choose to go with for your free domain option.
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