Planets can become tidally locked to the sun- mercury is. Probably the timescale required for the other planets is just much longer
EDIT: Apparently mercury isn't actually tidally locked to the sun, TIL
The planets have much more complicated gravitational interactions because in addition to the Sun's gravity, they influence each other. So you end up with things like orbital resonances instead.
A planet that's close to its star and far from other strong gravitational influences will tidally lock to the star.
It has to do with the tides. Except in this case it isn't ocean tides - it's lunar tides. Just as the Moon's gravity creates a bulge in Earth's oceans, Earth's gravity creates a bulge in the material that makes up the moon.
If Earth and the Moon didn't rotate, the bulges would "point" directly at the other body. But with rotation, the tidal bulge is a little bit offset in the direction of rotation. And the Moon used to rotate.
That offset creates a torque. Earth's gravity tries to pull the bulge into perfect alignment. Over time this slows the rotation of the moon until it stopped rotating at all.
(Technically the Moon does rotate, but it does so at the same rate that it orbits Earth. So it doesn't rotate from our perspective.)
I imagine most bodies rotating around a second object will eventually lose their angular velocity.
[1] The Earth does move in the moon's sky a bit. If you are on the near side but getting close to the far side, the Earth will be below the horizon sometimes.
Ignoring the orbital period implications, I think it'd be bigger news if either US or Europe, or Asia couldn't ever actually see the moon.
But only Luna is tidally locked at the moment. Terra is not, and its rotation still has a long way to slow down before it becomes so.
and one cancels the other, yes