Sure! Here are the simplest meanings for each of the phrases:
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Naturally occurring chemical: A substance that is found in nature without human intervention. Examples include minerals, plants, and elements like oxygen or carbon.
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Intentionally added chemical: A substance that is added to a product or environment on purpose to achieve a specific effect, such as preservatives in food or additives in cosmetics.
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Unintentionally or intentionally added chemical: A substance that may be added by mistake (unintentionally) or on purpose (intentionally) to a product or environment. For example, contaminants from production processes may be unintentional, while dyes added for coloring are intentional.