Deck re-stain

I'm about to get started on stripping & re-staining my deck.
My question is...if I use a stripper like Behr's deck stripper, does it need to be both neutralized afterwards with a brigtener AND cleaned (I purchased an oxygen bleach product already).
Or can it JUST be cleaned with the oxygen bleach before I put on the new stain/sealer?
What order should I do those things in (stripping, cleaning, brightening) assuming all 3 need to be done to get it prepped for staining/sealing?
Thanks! I'll be using Defy Epoxy Stain to seal it and stainsolver.com's oxygen bleach to clean it if necessary. TimerBrite most likely to brighten it if necessary...
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G wrote:

to be rinsed with plain old water. Use Behr stripper - blue bottle - followed by cleaner brightner, green bottle. They're made to work either together or independently.
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