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After changing my oil today, I was doing a little engine inspection and found a broken vacum line. It's the part below the one with the two wires on it and shaped like a square. The vacum line comes from the front of the car, T's off and one line goes to the left side of the part and the other, which I have unplugged goes to the top connection which you can see. It's mounted just to the rear of the thermostat housing and below the TB.
That's the vacuum part of the EGR Sol which controls the EGR Valve.
Though you can likely patch the line with rubber hose, I picked up a new line a few years ago for my '88. Over time and temp. cycling those hard plastic lines become brittle and easily crack & break.
TPI? The line coming from the TB is the vacuum source line for the EGR valve. GM added an electronic switch also to this vacuum (the wires in your pic). From the switch it goes the EGR valve underneath the plenum.
This was the first repair I had to make on the vette. A cracked vacuum connection to the TB