When a door latch doesn't click into position, it usually means the latch and the strike plate are out of alignment. Tighten its hinge screws, then try adjusting the strike plate by loosening its screws and shifting it slightly.
When possible, it's easier to file the slot in the strike plate a little bit so that it will receive the latch. Shifting the strike plate's position usually involves mortising the jamb, filling part of the old mortise, and so forth. You can also solve misalignment by replacing the strike plate with an adjustable one.
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