If the lens has no moving parts, it has a fixed zoom (and focus), therefore you need several lenses for different zooms. Smartphone cameras have a tiny piece that moves for focus, but that’s it. If you zoom in digitally, you lose detail very quickly because you’re using less and less part of a sensor that it’s already too small.
They could add a few more moving parts to make the lens with zoom, but it’s hard to make and most probably will be thicker.
Even in big cameras, lenses that have a lot of zoom don’t perform very well overall, there are distortions and the image gets blurry.
It’s usually cheaper to have several sensors and lenses than engineering a lens small enough for a phone that can zoom and doesn’t break. The problem is the transition between the zoom levels, each sensor will give different colors and each lens different distortion.
Some manufacturers might try in the future for the single lens approach, but that will make the phone more expensive.
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