Toyota Repair Problems? Ask a Mechanic for Answers ASAP
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As outlined in the link above there were 2 service bulletins that resulted in a recall on this issue. THis is most likely a free repair at your dealer. THese 2 codes are related directly to this "known" issue. The monitors that you describe are just that, monitors. The EVAP system needs to recognize a specific drive pattern before it will run the monitor and complete/ok the system.