What was found
LT ENGINE FLAMED OUT AT 45,000 FT WITH NO PRIOR ABNORMAL INDICATIONS NOTED. LT ENGINE RESTARTED AT 19,000 FT AND A/C LANDED SAFELY. INSPECTED THE LT ENGINE FUEL SYS, REMOVED FUEL PUMP FILTER. NO DEFECTS OR NOTED. REINSTALLED. REMOVED LT ENGINE FUEL CONTROL FILTER. NO DEFECTS OR FOUND. REINSTALLED FILTER. REMOVED HIGH PRESS FUEL FILTER, NO DEFECTS FOUND. REASSEMBLED AND REINSTALLED. LOW POWER ENGINE RUN AND LEAK CHECK SATISFACTORY. HIGH POWER PERFORMANCE ENGINE RUN ACCOMPLISHED. FUEL SAMPLES PRIOR TO AND AFTER FLIGHT SHOWED NO SIGNS OF WATER. IT WAS DETERMINED THAT LT ENGINE FUEL CONTROL MIGHT BE OF CONCERN AND SHOULD BE REPLACED.