Each knowledge base has its own unique KnowledgeOwl subdomain, like ours is "support.knowledgeowl.com". Your domain can be customized under Settings > Basic.
You can also set up a private domain (your own custom URL with no reference to KnowledgeOwl) and point that to your KnowledgeOwl subdomain. You or your webmaster will need to add a CNAME record for your subdomain. Once created, the private domain may take up to 24 hours to be fully synced.
You can optionally choose to set up a secure private domain that allows for SSL links. You will need to upload your site certificate, chain, and key.
Once you confirm your private domain is properly displaying your knowledge base, you can check the box to "Enable private domain links" so that the View KB link and links inside the editor will go to your private domain.