I bought a set from craigslist that had the same symptoms
as you describe.
I removed them and fastened a 12oz plastic soda bottle
with the bottom cut off to make a funnel around one end
of the cable, taped it up tight, and suspended it.
poured in a few ounces of ATF/Acetone mix and let it slowly
creep through the cable....... with a little pulling and tugging
back and forth, it loosened up to normal......
but - when the cable starts to rot from the inside out,
it could be a serious issue while underway..... time to replace it.
IMO - internal lubrication of an old cable is only a temporary fix.
this fix can also be applied to your lawnmower, snowblower,
and anything else used outdoors that is exposed to the elements
and the cable becomes hard to manipulate.