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It really depends on the object, but you should have few problems with objects at that altitude above the horizon so long as it's out of any local light pollution.
The Andromeda galaxy is one of those objects that doesn't reveal a whole lot though...it's very large with fairly low surface brightness besides the core, and the cores of the satellite galaxies. It should be fairly easy from your latitude though, I've imaged it from just outside Brisbane and seen it above the trees as far south as the Blue Mountains!
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