These plants propagate naturally by seed, but also spread by sending out underground stems (which according to Wikipedia are called "stolons" . Runners are overground stems which root, as in the case of creeping buttercup, briars and strawberries).
Image courtesy Eileen Henderson CC SA 2.0 via Wikimedia Commons
I've had a patch of these for a few years growing in against a hedge. The seeds probably arrived with the wind. New plants have appeared around the originals, so I dug them up last year and separated them from their parents. They should look good at the back of the herbaceous border, towering above what's left of the delphiniums.....
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