When a probate court cannot identify or locate the person entitled to a distribution of property from an estate or trust being administered by it, or when a probate court determines that no person is entitled to any property on hand for distribution, the probate court shall order distribution of such property to the State Treasurer as abandoned property in accordance with the provisions of part III of chapter 32. A probate court shall cause reasonable efforts to be made to identify and locate the person entitled to the property for distribution before ordering distribution as abandoned property. Nothing in this section shall prevent a court of probate from approving an agreement pursuant to section 45a-434 provided all undetermined or missing distributees are represented by counsel and any such agreement is signed by such counsel.