Wallflowers - What to expect?

Hi. Any advice welcome please!
I got some wallflowers last Oct/Nov as bare
root plants; these were overwintered before moving to current positions. They flowered during Spring and have since been left. Many seem to have gone to seed, others showing signs of new growth. The bareroot plants were sold as perennial so expecting them to come back next year. Should I do anything with them; cut back to above any new shoots? What about any plants that look spent? Hopefully pics give an idea of what I’m looking at. With thanks 😀.
I got some wallflowers last Oct/Nov as bare


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Do you know which variety they are ?
Persian Carpet mix are generally grown for a Spring display and then taken out. You can try keeping this type of wallflower going for the next year, but generally speaking it doesn't succeed unlike a variety such as Bowles Mauve which can literally flower itself to death.
I advise pulling them out and buying fresh bare rooted ones this Autumn for a good display next Spring .