karmaṇaiva hi saṁsiddhim
sampaśyan kartum arhasi
Word for word:
karmaṇā — by work; eva — even; hi — certainly; saṁsiddhim — in perfection; āsthitāḥ — situated; janaka-ādayaḥ — Janaka and other kings; loka-saṅgraham — the people in general; eva api — also; sampaśyan — considering; kartum — to act; arhasi — you deserve.
Kings such as Janaka attained perfection solely by performance of prescribed duties. Therefore, just for the sake of educating the people in general, you should perform your work.
karmaṇaiva hi saṁsiddhim, by performing Karma itself saṁsiddhim, perfection is attained by whom? āsthitā janakādayaḥ, by Maharaj Janaka and other persons like him, loka-saṅgraham evāpi, therefore for the purpose of loka-saṅgraha, sampaśyan kartum arhasi, sampaśyan means see systematically, consider, loka-saṅgra means setting examples of others saṅgra actually means accumulation or maintenance so maintain the lokas, how are the lokas maintained? By proper example. loka-saṅgraham evāpi
sampaśyan kartum arhasi. So considering that you should act properly, so He is saying in the past also there were many people who were liberated by doing there prescribed duty so don’t think that prescribed duty cannot bring liberation, by doing one’s prescribed duty also one can move forward, and eventually becomes liberated.
So in this section Lord Krishna told Arjuna it is not external duites which causes bondage but one’s internal mentality, if one is detached then one is not bound but by being detached if one does one’s duty then one is able to set a good example for other’s also, so for loka-saṅgraha, please do your duties and in the next verse Krishna will talk about Himself also and that will be the first verse where Krishna has talked about His supreme position explicitly, He has hinted in 2.61 but now He will talk more directly in 3.22 and 3.23.