The short answer: No. I would not recommend use by.
Hey Johnson Baby Shampoo is basically formulated for children as their hair is sensitive and soft. The thing that makes it mild is the sulfate free formula.
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But what happens when an adult uses baby products, and tries to pull for one week: Baby oil, baby shampoo, baby body wash, baby cream.
Baby shampoo seems gentler than regular shampoo -- if you can use it on a baby, it would stand to reason you could use it on an adult. If you're looking to try.