I have a project that involves controlling temperature with a
thermostat. The device used is he

https://www.ebay.com/c/595562870

However, since the temperature monitoring location is soon to be well
beyond the length of the current thermocouple leads, I am considering
swapping out for this:

https://www.ebay.com/itm/Extra-Long-...AOSw1HVfHfL ~

The problem is that the connecting leads don't match. Can this longer
thermocouple's ends be cut off and be replaced with the same type of U
interface that the current one uses? Thank you.