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Ight let me do my prediction by year:

End of March 2023: 129 Million
End of March 2024: 145 Million
End of March 2025: 153 Million

Total:~157 Million

So it should technically outsell the PS2 at 157 Million. But it's gonna be a bit weird to determine if the Switch officially outsold the PS2 because of how many different sales figures there are for the PS2. The last reported sales figure by Sony was 155 Million but we know that the PS2 sold a little bit more after that reported figure so there are a bunch of different websites stating that the PS2 sold 157 Million, some state 158 or 159 Million. So that's a grey area that's gonna need to be debated on to determine if the Switch really outsold the PS2. But in general the Switch I'd say will likely hover around 157 Million to potentially be the greatest selling console of all time.