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News stories have claimed they may have — but is this true?
If only notes are involved then if you open an envelope with say £1 that will limit the choices. If the envelopes are filled with care, so that the smaller one does not contain 1 (or an odd amount) of the minimum denomination, then all is good.
Try my solution: http://lesliegreen.byethost3.com/articles/TwoEnvelope.pdf