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I am sorry to hear about your loss. When you say "appointed as trustees," I am going to assume you were appointed as "Executors/Administrators." Also, I am going to assume that your father had NO WILL. If these assumptions are incorrect, please reply and let me know.
If he had no Will, then his estate goes to the following family members HERE by default (scroll down to Who Gets What in Indiana). If that means the two of you per the chart, that means that you have the discretion of what to do with the home. You can SELL it and keep the proceeds, for example.
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