At this point there really isn't any available jailbreak firmware for 3.1.1 on 2nd generation ipod. Quickpwn should be able to come out with the jailbreak, and same with dev-team. I also heard that "Greenpois0n" will come out with 3.1.1 jailbreak, but so far there isn't any jailbreak for 3.1 on ipod 2nd gen
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At this point there really isn't any available jailbreak firmware for 3.1.1 on 2nd generation ipod. Quickpwn should be able to come out with the jailbreak, and same with dev-team. I also heard that "Greenpois0n" will come out with 3.1.1 jailbreak, but so far there isn't any jailbreak for 3.1 on ipod 2nd gen