Can you hire a car in LA and take it to Baja and leave it there?
why not call a car rental company and ask them?
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"Seville Car hire can offer reduced prices for Seville car hire, on cars. We offer rental straight from airports and out of our own locations. When you book your car rental you will need to take note of your confirmation number that they send you later on, if you do not have this and I.D you will not get your rental at pickup."