Several load-balancing servers listening on single IP/port?

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http://serverfault.com – Let's say I have a fully working, load-balanced application server environment. All servers have to fail-over gracefully. It's relatively easy to do with the application servers, but how can I achieve fail-over with the front load-balancer? Can I have multiple load-balancers listening on the same IP and port? Do I have to run a new one as soon as I detect the old one died? (HowTos)