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"Abandoned property" is defined in the statutes as property of which the owner has intentionally given up possession under circumstances evincing intent to give up ownership. If your huband continues to ask about his things, he has not evinced an intent to give up ownership of them.
You can ask the court to make a final date by which your husband must remove his things from your home before they will be considered abandoned. This is pretty typical in divorce situations, because the back and forth over personal property can get to be endless if no date is stated.