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Do immigrants from China have to cancel their China hukou and ID card?

Theoretically:

People who have settled abroad for a long time or obtained foreign nationality should cancel their China hukou and identity card.

Actually:

Unless the exit-entry administration department discovers that you have a foreign permanent residence visa on your passport when you renew it, and requires you to issue a certificate of non-naturalization, the China government will not know that you have obtained a foreign passport or permanent residence.