You can be in ketosis (ie in fat burning rather than carb burning mode) without losing weight. You still need to create a calorie deficit, so that's the first thing I would look at.
The second thing to think about would be meal frequency and its effect on insulin levels. Although carbs are the main stimulators of insulin, proteins and even fats can also stimulate it, and increasingly it's looking like it's not just what you eat but when you eat that's important for reducing insulin resistance and therefore insulin levels, thereby allowing access to your stored fat. Intermittent fasting (alternate day fasting, 24 or 36hr fasts twice a week and other variants of intermittent fasting) is all about allowing your insulin levels to go very low on a frequent basis, which in turn should reduce insulin resistance, reduce insulin levels and allow you to burn your stored fat.