I have a Kenmore Series 70 washing machine.

The machine will rinse but will not drain and spin out.
It will not do this on any wash setting cycle.
All hose are correct and no kinks in hoses.

All has been running great until now.

Why won't the machine advance to the drain and spin portion of the cycle after completing the rinse portion of the cycle?

Could be the lid switch.

The lid switch works OK

If this machine has a separate pump from the drive motor, it could be the pump. Pump inlet clogged or drain hose clogged.