Well, that's what will happen; either it precipitates out onto your kettle's inner surfaces, or it remains in the water and ends up in your drink.
In reality, the particles of calcium are too small to be noticeable - at least once you've reduced your existing build-up.
The only way to reduce the calcium in your water is to get a filter.
Unless it's an distillation filter / osmotic filter / ion exchange filter, it's not going to take much out of the water.
@NotThamesWater started
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Well, that's what will happen; either it precipitates out onto your kettle's inner surfaces, or it remains in the water and ends up in your drink.
In reality, the particles of calcium are too small to be noticeable - at least once you've reduced your existing build-up.
The only way to reduce the calcium in your water is to get a filter.