I was told that my ac outside unit should have a copper line that is cold and one line that should be hot . Well my unit has the cold line but the one that should be getting hot is not. Should I continue to run my ac in this condition , do I risk damaging the unit or should I turn it off. Ac is keeping the house cool for now

It will only feel that way if the compressor is running. If everything is working well and you are happy with the performance, don't worry.

Actually the large line should be cold and the small line should be only warm, not hot. If the large line is cold, but the small line is just warm, that is a good thing, it means your condenser is performing efficiently. As ma said, this will only be the case when the condenser is running.