Bug with <blockquote>

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When I try to make a blockquote in raw HTML with more than one paragraph (<p>), only the first paragraph is inside of the blockquote tags in the actual HMTL generated for the post.

    <blockquote>

        <p>Paragraph 1</p>

        <p>Paragraph 2</p>

    </blockquote>

Has anybody managed to make it work?