Thank to All for your prompt answers!, they helped. I identified a couple of daily jobs that
1) shrink all databases
2) do daily backup for all databases.
the jobs are owned by SUNGARD [our datacenter people, we outsource our data solutions to this company], not me. The jobs are scheduled by SA account, I'm only a developer/user of the system [though I own ETL databases on the server], so i guess i cannot mess with the jobs, will have to call them to negotiate.
..yeah the setup is impressive, the Winxerver box has 16 processers and 128 GB of RAM, so it practicaly flies unimpeded.