Hong Kong (CNN) Hong Kong's leader has issued a rare public apology in the wake of repeated record-breaking protests that called for the withdrawal of a controversial extradition bill with China.

Speaking Tuesday, two days after protest organizers estimated 2 million people took to the streets to demand the bill be fully withdrawn and that she step down, Chief Executive Carrie Lam said she wanted to offer the city her "most sincere apology."

"I have heard you loud and clear and have reflected deeply on all that has transpired," she said. "The concerns over the last few months have been caused by the deficiencies of the (Hong Kong) government."

However, it's doubtful that Lam's somewhat stilted, emotion-free display will be enough for many of her critics. Her speech echoed comments she made on Saturday in the wake of violent protests last week.

That statement, in which Lam said she was suspending the extradition bill, failed to dampen Sunday's turnout and may even have led more to join the protest.

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