In which Felicia explains the sustainability of some toothpaste ingredients. This is a partial list of ingredients, based mainly on two tubes of toothpaste in her bathroom, Sensodyne Pronamel Multi-Action and Burt's Bees Complete Multi-Care. The ingredients are classified by the function they serve in toothpaste: 1) active ingredients, 2) sticky stuff, 3) surfactants (detergents), 4) sweeteners, 5) whiteners, 6) minerals, and 7) flavors.

Sources include:

Wikipedia

PubChem

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Boerner, L.K. What is dental enamel, and how does it protect your teeth? Chem Eng News Oct 19, 2020