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Thanks for the questions.

Will it be possible to edit our post there?

Unfortunately not. Data shown will match that of the blockchain and other Steem apps.

Or will be option not to display specific post from the website?
Yes, it will be possible to filter by specific hashtags aswell as include/exclude specific posts.

After HF20, I think post edit will be possible, isn't? In that case, I think it will be possible in your site too.

Posted using Partiko Android

Yes edit is possible in HF20 but I think it is only for new posts after HF20. Test it on an old post of yours?