What service is defined as a combination of cutting and coloring hair?

The service that is defined as a combination of cutting and coloring hair is highlighting. Highlighting typically involves the addition of lighter shades to the hair, which can enhance a haircut and create depth and dimension. This process is specifically aimed at altering the color of the hair to achieve desired visual effects and is often performed alongside a haircut to ensure that both the color and style work harmoniously together.

Color correction involves correcting unwanted hues or tones in hair that may have resulted from previous coloring. This process can sometimes include cutting, but it is primarily focused on fixing color issues rather than combining cutting and coloring as a standard service.

Color matching refers to selecting the right dye to ensure that the new color will blend well with the existing hair color. While important in the coloring process, it does not entail the cutting portion that is part of the correct answer.

Hair layering is a specific cutting technique that involves varying the lengths of hair to create movement and volume. It does not incorporate any coloring aspects, making it distinct from the combination of cutting and coloring that is characteristic of highlighting.

Thus, highlighting is the service that best encompasses a combination of both cutting and coloring hair, making it the most appropriate answer to the question.