What was found
LAV SMOKE INDICATION APPEARED ON EICAS DURING CLIMBOUT. A FAINT ELECTRICAL BURNING ODOR WAS NOTED IN THE COCKPIT. RETURNED TO FIELD AND LANDED UNEVENTFULLY. THE LAV SMOKE INDICATION WENT OUT ON SHORT FINAL. THE AIRCRAFT WAS FERRIED TO CMH FOR MAINTENANCE. MAINTENANCE PERFORMED ENGINE RUNS AND TROUBLESHOT THE LAV SMOKE IAW EMB 145 FIM 21-20-00-810-801-A AND ROLLS ROYCE FIM. FOUND THE ENGINE NR 2 OIL TO BE OVERSERVICED. DRAINED OIL TO SERVICEABLE LIMITS. REMOVED CUSTOMER SERVICE MANIFOLD ON ENGINE NR 2 TO INSPECT FOR VISIBLE OIL. NO DEFECTS NOTED. PERFORMED ENGINE RUNS. NO SMELL NOTED.