Chlorine bleach does tend to cause rubber seals to perish so I would avoid putting it in a washer. I believe Americans use bleach more than Europeans in laundry, possibly their powders are different to ours. Generally, UK powders conain a bleaching agent and liquids/gels don't. Persil is particularly good at getting things white (true!), so if Persil doesn't get them white enough, I would put them in a plastic bucket with cold water and a trace of bleach to soak, then rinse and wash normally.
This is also why Persil powder makes coloureds fade.