I'm trying to update the 2ds through recovery mode, I was able to turn internet on, but when I trigger the update and it's starting shows me an error "An Error Occurred. Unable to Update. The system will now reset."

If you enabled internet, you could continue with the guide?I'm trying to update the 2ds through recovery mode, I was able to turn internet on, but when I trigger the update and it's starting shows me an error "An Error Occurred. Unable to Update. The system will now reset."
That's called fraud. Don't do it.
Yes, there is a work around but I can't get to update itYou could enable back internet connection with recovery mode? there's a workaround in plailect's guide I think.
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If you enabled internet, you could continue with the guide?

As i stated previously, you need a hardmod to fix.Yes, there is a work around but I can't get to update it
From the guide:
Try booting into recovery mode and updating your system.
This probably will not work for an Old 3DS downgraded to 2.1.0
This will BRICK a New 3DS downgraded to 2.1.0
- Power off your 3DS by holding down the power button.
- Hold L+R+A+Up.
- Power on the 3DS.
- If you enter safe mode, update your 3DS only if you have an entrypoint for the latest FW version and it is possible to downgrade from it and attempt the downgrade again.

Quoted from http://www.gamefaqs.com/boards/997614-nintendo-3ds/71168246While booting up a 3DS system that is not set up, with a 3DS Game Card in it: A+B+X+Y+R -> force the game to boot, regardless of setting up the system