Which of the following statements are correct regarding MLE

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MLE here implies Maximum likelihood estimator.

Statements are :

$1$. MLEs are always consistent

$2$. MLEs are always unbiased

$ 3$. MLEs follow normal distribution asymptotically

$4$. MLEs need not be a unique estimator

$1st$ is true and $2nd$ is false I know it I want to know reasoning behind $3$ and $4$ statement please give any example if you can.