What problem were they hoping to solve with that legislation?

Most of time it's billed as law enforcement fighting tool. If people can't have anonymous cell phones, once you capture one criminal phone number, you can quickly look at who they call and since they can't be burners, you figure out the criminal network.

Also, if you have restrictions of speech in the country, it's great way to de anonymize any speech government says is illegal.

The problem of citizens having anonymous internet connectivity.

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