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We also encourage you to explore all things Zimbra with our team and members of the community.
You can set Zimbra to use http, https, both, or have it redirect people who enter in the http URL to the https URL.
The modes are called http, https, mixed, and redirect. You can choose these when you install, it'll have a portion where it wants you to configure the server.
Bugzilla
Wiki
Source
ssl 
Linear Mode
