PokéBase - Pokémon Q&A
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2 Answers

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Reshiram and Zekrom cannot be Shiny as they are coded not to be Shiny in Pokémon Black, White, Black 2 and White 2.

Other Pokémon that cannot be Shiny include Celebi, Arceus, Victini, Keldeo, Meloetta, Xerneas, Yveltal and Zygarde.

Source: http://www.serebii.net/games/shiny.shtml

Hope I helped :)

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He said in White 2 so Zygrade and the others don't count
Which is why I said "other Pokémon that cannot be shiny include" as I was referring to "Pokémon that cannot be Shiny overall." Also Celebi and Arceus count because you can only get them by event and there have been no Shiny Arceus or Shiny Celebi events.
Oh, sorry then..
3 votes
  • Victini
  • Reshiram
  • Zekrom
  • Keldeo
  • Meloetta

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It's fine, I'd also like to apologise myself because I feel like the bad guy. I wasn't trying to be rude or have a go, so I'll vote you up to help even it out :)
thanks
No problem :)