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If you are a tenant, then you should be able to decorate your house in any way unless you have a hoarder type situation and it becomes a fire hazard or some type of health danger. Your lease should also address if certain things can be performed such as inside paint or any changes to fixtures. The landlord could prohibit these types of changes but if you mean the vase should be in a certain place or the desk should be in the living room instead of the bedroom, no, you as tenant have complete authority.
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