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Herbs can work together (synergistically) so yes, it stands to reason that some don't work well together. For example, some herbs are energizing and are best not taken at bedtime. And chamomile and hops are calming and I tend to take them in the evening if I am using them.
If you mix bleach and ammonia you get a poisonous gas. But those are chemicals, not herbs. I don't know of any common herbs that would have such a dramatic effect.
Single herbs can have their dangers. Some are blood thinners, which can be contraindicated for some people. Others shouldn't be taken in pregnancy as they can cause miscarriage. So it is always wise to get to know the herbs you are using. A favorite starter herb book for me is, "Ten Essential Herbs, " by Lalitha Thomas. I still reference it.
"Medical Herbalism, " by David Hoffman is a great herb resource, but it can be pretty overwhelming.
My own herb knowledge has come from using different herbs over the years and studying them one at a time.
I don't know of any contraindication of the herbs you mention, but if you are concerned, you could take them at different times of the day.
~Mama to Many~
Recommended Books
★★★★★