My 2005 TL would shut off while driving with no warning. I could be going 10 miles an hour or 65 miles an hour on the interstate and suddenly it completely shut off. Luckily I never had a problem getting to the side of the road. If I waited 15mins it would start back up like nothing ever happened. Turns out it was the fuel filter relay. Nowadays they cost about $80 at Advance Auto and if you have some knowledge on repair and small enough hands you can do it yourself. They have tons of videos on YouTube on how to do it.