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I don't think you will get penalized for 2 pages on the same site having the same content. On the other hand, your PageRank will be spread over these 2 pages, so having only one indexed is better. Try to find out if there is a link to this 'https' page and if so, consider changing that link.
With a noindex meta, Google will eventually drop that page. If you want to speed up that process, go to the Remove Content from Google's Index [google.com] page after you added the noindex meta.