CTS is near the thermost housing on the intake manifold, 2 wire connector.
If both hoses are hot the problem is usually in the temp door controls, this
system is automatically controlled by thermistaors and a dial rheostat,
sending a signal to a programmer which in turn moves the temp door based on
in car temps, outside temp and dial setting, it is underneath/ behind the
glove box.

Check all the electrical connections from the sensor back.  Check wiring
for;  bad terminal connections/bad wire/faulty mating of the cts
terminals/connectors.  Once you are sure of the wiring, then  there is a
long diagnostic list to try.  It starts with disconnecting the cts and
putting a jumper wire between the terminals in the wire harness.  If the
parameter value then is:  -40 to -35, there is one ladder to follow.  If
the value is -34 to 151 there is different ladder to follow.

One of the electrical inputs the air-mix valve is adjusted by is, the
cts value.

When/if the cts value is wrong, as seen by the computer, it then uses
the mat sensor value to operate.

I'm willing to help, so read the values with the jumper-wire in place
and post them.
Is your email addy right?  I may go to my pc instead of this terminal.

Dave S(Texas)