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I’ll attempt to answer. Occum’s razor. Is your scale accurate? Tried another scale for comparison. Scales aren’t the be all end all tool to measure dieting progress. Reason being is a lot of factors can impact weight at any given time. Hydration level, food & liquids in stomach, urine in bladder and waste in intestinal tract. The best time to weigh is typically in the morning with empty bladder having not consumed any food or liquids. I don’t know your activity/exercise level. I don’t know your other factors like weight or how long you’ve been on keto.
Now I’m going to think out loud. I’m no doc or scientist so don’t take my ramblings as gospel. Could it be that you’re feeling better & engaging in more activity/exercise? This could cause an increase in muscle density. When on keto your body sheds water stores from muscle, etc tied to glucose. You could gain some muscle density while losing inches due to reduction in fat, water & glucose stores explaining overall weight retention. The food you’re eating could also aid in increasing muscle density by creating an environment to nutritionally support it. An increase in density wouldn’t necessarily translate to the appearance of increasing overall muscle mass. I’m just spitballing here. Throwing poo at the wall and seeing what sticks. Lol. “I’m a doctor not an engineer.” -McCoy. I’m the opposite of that though.
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So I've read that as you lose weight the fat cells that are emptying out are quickly filled with water, and that your body can hold onto that water for a while until one day, woosh. Then the scale drops 4 or 5 pounds over night. This particular thing has happened to me a few times in the past. I imagine a couple pounds of fat would look different on your body compared to a couple pounds of water? Maybe that's the explanation for the change in inches, not pounds? Here's to hoping anyways, right?😉