It depends on what the terms of the trust are. If the trust allows the trustee (person with authority over and managing the trust) to transfer the property to you (either as a gift, or if you buy it from the trust), you can get the property in your name in any way permitted by the trust. If the trust does not allow the property to be transferred out of the trust, then you cannot. Trusts are governed by the terms or instructions in the documents creating them, so you need to reference those terms.
If in doubt about what those terms mean or what can be done, consult with an attorney who can review the trust document(s) with you.
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