To put/place someone on their honour is another way of saying that you trust them to be honorable.
...live animals in a museum.
...living animals in a museum.
The semantics here are OK, but there isn't a collocation living animals, so most speakers would opt for the structures live animals or animals living.
Both animals and plants are living things.
=> things that are living
Both aninals and plants are live things.
=> things that are alive
Again, the semantics are OK, jiang, but the collocation for that particular context is living things. Cf. Electrical wires are live things.
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