1. Check by intake manifold for coolant leaks.
2. Pull oil filler cap and check for brown foamy residue.
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My BFF (Buick Friend Forever) says the plastic plenum melts eventually so he replaces it on every Lesabre, a cheap repair. Also the plastic intake gasket fails at around 80,000 miles so that is why to check for coolant leakage, a $700 +/- fix. Now I am finding some of the dashes fail and separate/buckle by the windshield in front of the driver. I found a nice Lesabre with a dash problem and I'm checking on how this can be fixed. Some say the dealership will do it for around $1200, yikes. But even a reasonable price of 10 hours fooling around with the dash will run $400 plus parts. This dash thing is not a happy situation. But if you can get the car cheaply enough, it may work out.
Looking at a 2001 Lesabre Limited with 103,000
4500 base
500 dash replacement
200 balance and rotate
500 two rear windows fix
200 plenum ?
500 intake gasket ?
6400