My 7 yr old Kenmore 110.23822100 washer runs water in and lets it drain out at same time and will not fill up or go beyond this cycle. What could be wrong?

Your house drain is slow. This allows water to back up and siphon the water from the tub. Create an air break where the hose enters the drain, and make sure the house drain is clear and flowing. Make sure your drain pipe on the house is higher than the top of the tub.