Yes, you can report the car on your personal return as Unreimbursed Partnership Expenses in the K-1 section of TurboTax and have the car registered in your name.
Since the car is less than 50% business use you would take mileage expense. For 2019 the mileage rate is 58 cents per mile.
You do need to have a mileage log that shows the date, business purposes and number of miles driven.
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