It can be removed with gentle cleaning and a little effort in oral cleaning. If you hear numbers of 0 or 1, you're doing quite well. There is great information about the British Society of Periodontology to help you keep your gums in good shape. Usually, 1 — 3 mm is healthy, 4 is a warning, and anything above 5 is a call to action to prevent disease.
When engraving a 5 or 6 mm bag, deep cleaning may be recommended. Rarely, when the numbers are higher, gum surgery is performed. The stitches are later removed and healing is evaluated.