LTM routing question

Source:10.2.2.3 VIP:192.168.80.80 Pool: 192.168.180.82 Gateway: 192.168.180.1 || Ques: Self ip --192.168.180.9 Self ip 2 -- 192.168.80.9 || LTM is reverse proxy -- device or service placed between a client and a server in a network infrastructure. Incoming requests are handled by the LTM, which interacts on behalf of the client with the desired server or service residing on the server.

In your case LTM knows whats the next hope to reach 10.2.2.3 and as self ip reside within LTM- ARP place a role to make sure which interface/vlan has self ip configured.