Active-Active traffic groups and network

Answering also based in the extra information you provided in the comments. As David said, most of the time an Active/Standby setup is better than an Active/Active setup.

Let me first explain why with 2 units. Either with a Active/Active or Active/Standby you still need 2 units, so the you are not saving money. An Active/Standby is easy to support and upgrade, because you perform the upgrade in the standby unit first, and then the other unit. Troubleshoot is also easier, you know the applications are active in the active unit. On the other hand, an Active/Active setup requires you to do a failover first, this to make sure the unit been upgrade is in standby mode. Also, when troubleshooting you need to check where is the virtual server active (or any other listener).

Next, the same network with Active/Active setup. When using Active/Active setup, each object is either in one traffic group or the other. So, you will need a float Self IP and 2 non-float Self IP per traffic group (so 6 IPs if using a Active/Active setup), and because you are using the same network, I doubt that is going to work well (unless you use route domains, but that adds unnecessary complexity).

An Active/Active setup is recommended when you have 3 or more units, as you can do Active/Active/Standby.

If after reading this you still want a Active/Active setup, this link have more information:

https://support.f5.com/kb/en-us/products/big-ip_ltm/manuals/product/tmos-implementations-11-4-0/3.html