Hi Cathy,
after Ian's answer, I'm somewhat unsure if you need the stealth redirect in a forward proxy (aka. a Browser accesses the internet) or a reverse proxy scenario (aka. the internet access your web servers.
I you need the stealth redirect in a forward proxy scenario then Ian's answer would be the solution.
But if you need the silent redirect in a reverse proxy scenario, then you have to configure SSL-Termination of your Virtual:443, by assigning a Client- and Server-SSL-Profile. In this case the F5 can terminate and inspect the HTTPS request and then perform any kind of content manipulation.
https://support.f5.com/kb/en-us/products/big-ip_ltm/manuals/product/ltm_configuration_guide_10_0_0/ltm_ssl_profiles.html
Cheers, Kai