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I had many problems getting Trine to run in 12.10 (32 bit). If you try to run Trine from the terminal is the first thing. Eg locating the Trine executables from where Desura puts them mine where in /home/<user>/<desura location>/common/trine
First I got ./trine-launcher32: ./lib32/libz.so.1: version `ZLIB_22.214.171.124' not found (required by /usr/lib/libxml2.so.2) happening so I had to delete libz.so.1 file from /home/<user>/<desura location>/common/trine/lib32
and create the folder /home/<user>/.frozebyte/trine (Desura didn't seem to be making it when installing)
Next I had to rename/remove libm.so.6 and libvorbis.so.0 in /home/<user>/<desura location>/common/trine/lib32
Then copy libasound.so.2.0.0 into /home/<user>/<desura location>/common/trine/lib32 from /usr/lib/i386-linux-gnu. Then create a link in the trine/lib32 directory to the newly copied in file named libasound.so.2
I was then able to start the Trine-bin32 executable from the terminal. I couldn't get
trine-launcher32 to run properly though and gave that one up once I got the main game starting up.