As has already been pointed out, your meter doesn't try to replicate what you're eye is seeing; it exposes for middle grey. Overly bright scenes will appear under-exposed and overly dark scenes will appear over-exposed, consistently, because of this. It's the meter balancing things to middle grey. There's an an old adage that says something along the lines of, "If it's bright, go brighter. If it's dark, go darker." This tells us to "over expose" a bright scene or "under expose" a dark scene to compensate for the meter wanting to expose everything to middle grey.
Since you can't train the meter to think differently, the trick is to think like the meter and adjust exposure accordingly.
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