Inner healing and Deliverance group is about bringing people into the knowledge of walking into spiritual victory and freedom from bondage. It doesn't matter what you call it (demonized, possessed, oppressed, etc.), if they are in demonic bondage, whether they need to tear down a stronghold, break up a legal ground, cast a demon out, or all three... it's still deliverance, because it's setting the captives free.
(Luke 4:18, "The Spirit of the Lord is upon me, because he hath anointed me to... preach deliverance to the captives..."), so we are also sent out (John 20:21, "Then said Jesus to them... as my Father hath sent me, even so send I you.") to do the works He did (John 14:12, "He that believeth on me, the works that I do shall he do also..."), and this includes casting out of devils (Matthew 10:8).