The number one thing that causes cavities is plaque, Davids is formulated to be an antiplaque toothpaste.
In order to effectively remove plaque, there needs to be a certain level of abrasiveness.... not too abrasive, and not under abrasive.
The American Dental Association (ADA) has developed a rating system where they recommend that toothpaste not have an RDA rating above 200 to be safe for the teeth. Any toothpaste under 200 is generally considered safe for daily brushing and not overly abrasive.
Davids is in the range of 100 RDA, so is in the sweet spot of being safe for your teeth, but abrasive enough to remove the plaque.
Another example of a naturally sourced ingredient is calcium carbonate, which is used as a micro abrasive to clean and polish teeth. Our calcium carbonate is primarily made up of natural limestone mined from the earth. Once the limestone is quarried, it is then crushed, screened, separated, milled, and pulverized. Calcium carbonate undergoes an additional process in which the limestone is further purified, so yes, processing is required, but the final product is a limestone material minimally altered from how the material is found in the earth prior to processing.