Below Balance Point (Normal Cold-Weather Behavior)
Below your system's balance point (usually 25-40°F), the heat pump may run continuously to keep up. This is NORMAL — it's the most efficient way to extract every bit of heat available from cold outdoor air.
Check outdoor temperature. Is it below 35°F? Is your thermostat staying near setpoint despite continuous run? If so, system is operating correctly given conditions.
No fix needed. Continuous operation in extreme cold is by design. If you're uncomfortable with the energy use, you can supplement with auxiliary heat for the coldest days.