I think that the two responses seem to have missed your point completely. Basically, when you were jailbroken, in order for you to be able to sync these cracked apps, you will have installed (it may have been done for you when you installed Install0us) either AppSync or a modded mobileinstallation file to your ipt. Now that you have updated, you have lost this file, and so you can no longer sync third party (cracked) apps onto your ipt.
You need to re-jailbreak for these apps to be able to sync on again. And it depends entirely on which generation ipod touch (ipt) that you have. If you have a 1g, or non-mc 2g, then you can currently jailbreak 3.1.3, but if you have a 2g (MC model) or a 3g, then you cannot jailbreak 3.1.3.
To jailbreak (if I said it was possible) - You'll need to download a program called Sn0wbreeze, ideally the newest version as this will be the latest and most stable release. You can get this program from ih8sn0w.com. You'll then need the original 3.1.3 firmware.
You can either use the one that you will have downloaded to you computer when you updated your ipod to 3.1.3, which will be located at C:Users/(Your name)/AppData/Roaming/AppleComputer/iTun... Software Updates. This is the location for the file on Windows, I don't own a mac so im not sure of the location of the software updates but im sure it could be found with a bit of googling. Also, make sure that you have hidden files showing on your computer, as the AppData folde will most likely be hidden.
Alternatively you can go to http://www.felixbruns.de/iPod/firmware and click on the ipod 3.1.3 firmware to download it. Once you've obtained this firmware file, run Sn0wbreeze and follow the simple instructions. The main task here is to browse for the 3.1.3 firmware file that you just downloaded and select it.
After you've chosen a few other settings, you click the tick at the the bottom of the program, and leave it to create a custom . Ipsw file that you can restore to, which will jailbreak your device. Once it has created the file, it will have saved it to your desktop.
Then, go into itunes, make sure that your iphone is connected to the computer via usb, and hold shift, and then click restore. It will then ask you to locate the file that you wish to restore to, you then need to navigate to your desktop and select the custom . Ipsw that Sn0wbreeze just created and click ok.
Leave it to do its magic and when your iphone reboots it'll be jailbroken;).
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