Krishna offers a living example: King Janaka. Here was a man who ruled a kingdom, managed affairs of state, raised a daughter (Sita), and yet attained the highest spiritual realization. He did not need to renounce the world. He found perfection through action itself. This is proof that the householder's life is not a barrier to moksha.
Then comes the concept of lokasangraha — holding the world together, acting for the common good. Krishna tells Arjuna: even if you have no personal stake in the outcome, you should act because the world needs your action. A leader who withdraws from duty leaves the people without direction.