Unfortunately if you have two DUI's on your record it is very unlikely the DMV will ever grant you a commercial license in California. They are very strict with regards to DUI convictions in these type of cases. Did you take a plea on the second conviction or were you convicted at trial?
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No, the DMV not remove the DUI convictions from your H-6. Beyond that, you may have some real issues ever obtaining a commercial license with 2 DUIs on your record. It might be a good idea to call the DMV Mandatory Actions Unti at (916)657-6525 to inquire. Best of luck.
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