つけっぱなし (from つける + っぱなし) means 'left on / running unattended' — the ~っぱなし suffix marks something left in a state with neglect. 結露 'condensation' is a technical compound (結 'form' + 露 'dew'). ドボドボ is a mimetic for liquid dripping heavily or overflowing. The trailing ・・・ leaves the unpleasant consequences to the imagination.