Yes, you can leave an inverter running 24 hours a day, provided it is properly sized, maintained, and connected to a reliable power source. Inverters are designed to convert DC power from batteries into AC power, which is suitable for running household appliances and electronics.
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A 2kW solar system is suitable for powering basic household lighting, small appliances, and electronics (refrigerator, fans, TV and phone charger).
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Transportable via standard shipping container, the system achieves full operational capability within 4-6 hours of arrival.
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If you're asking this question, you've probably noticed that most modern high power solar modules are manufactured with wire leads that have latching connectors on the ends. These are usually referred to as MC4 connectors.
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