When decorating a house, what items cannot be thrown away in a trash bin?

Question

What items can be used/displayed in a house that cannot be thrown away in a trash bin?

Answer 1

Store items are impossible to throw and they can "cover" trash bin (For example, Cushions will be ON the trash bin). But be careful if you cover it because no store items will be in danger if you put them on the cushion.

Comments

So then if you "cover" the trash bin with an imbuing shrine or a store statue for example, would that prevent someone from accidentally throwing a non-store item away since it is something that cannot be stepped on?

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Not exactly. You can't place Imbuing shrine, reward shrine nor mailbox on the trash. I tried with that 3 items and also with a Bat (from the store).
Cushions are the only item to cover the trash bin but the risk is high.

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That makes sense. Thank you for answering my extra question!