As for why you excrete ketones, that’s part of the compensatory mechanisms that regulate homeostasis, and especially blood pH. Because ketones are acidic and will eventually sour your blood too much you need to keep them in check.
Too high levels of ketones will cause insulin to increase and stop gluconeogenesis, but the body doesn’t really want to do that unless it’s absolutely necessary because if you are producing glucose you presumably need that glucose, and there are other ways of dealing with excess ketones before resorting to that measure.
The first is excretion through urine, and during moderate nutritional ketosis you’ll find some amount being excreted through your kidneys.
As ketone levels increase you will activate an enzyme called acetoacetate decarboxylase which aids in the breakdown of acetoacetate to acetone (a process that happens spontaneously but at a much slower rate). This process in itself decreases acidity because it requires hydrogen ions.
Acetone is pretty volatile and will readily escape the body through any mucous membrane when it’s found in high concentrations. Particularly it will escape through breath due to the high exchange rate.
As you become more keto adapted your ketone levels will drop to some degree. If this is because your glucose demands decrease, you become better at metabolizing ketones (so there’s less excess) or a combination of both I don’t know and would be interested in figuring out. It could also be people tend to become less strict with their diet than before and aren’t as concerned as they used to be eating that half bell pepper or whatever it is that’s going to slightly nudge their ketone levels lower.