Yes, certainly, and for no extra charge. Our themes are responsive, and mobile-ready. Alternatively, you can choose a blank template and add your own CSS.
You're able to host the site at a subdomain of Simplecast (e.g., https://yourpodcast.simplecast.fm) or use your own custom domain name.
Documentation on how to configure your custom domain can be found here.
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Still have questions? we'd be happy to answer them. You can start a live chat with someone from our team by clicking the bottom right icon on this page.