Yes, that is correct. Red Plates are licensed taxis to take passengers and White Plates are privately owned and operated vehicles (like your car at home).
However, still use caution. Make sure the "to and from destination" on the side of the taxi match the way you are going and you are somewhere in between those places. Also, don't travel alone in a vehicle at night if possible. Some may not agree with that advice but better be safe than sorry.
Have a great trip!
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