I'm looking for a patent artist that can make drawings for me but he
or she must live in the Los Angeles, California area (Southern
California)

Hello.

Here's a well-established patent illustrator located in the L.A. area:

R & J Patent Drafting (Valencia, CA)
"Patent & Trademark Illustrators Since 1969"
http://www.rjpatent.com/
Contact information:
http://www.rjpatent.com/rjinfo/contact.htm

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If you decide to consider patent illustrators OUTSIDE of the L.A. area, see:
 Patent Drawings & Draughting Services
http://www.trademark-inc.com/patent/patent-drawings-draughting-services/

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search strategy:
"patent drawing", "patent drafting", "los angeles"

I hope this helps.

Good Answer.