No. They don't touch, yes, they can stay entangled at a long distance, but it is impossible to manipulate two non-entangled particles that are far apart to entangle them.

My layman explained that ...

The general view of entanglement is based on the assumption that entangled particles are connected by a medium, which adjusts an action against the speed of light in distance, thus producing correlation.

Let's put this hypothesis aside and describe the quantum entanglement of paired particles as two identical, independent and independently rotating coins (that is, superposition States). The only condition that they are completely related is not that they are physically connected, but that they will rotate in a completely synchronous way. Synchronization will ensure that every time we make a joint synchronous measurement, we will always get a related result.

That's all. There is no need to worry about the conservation of spin, because there is no medium to connect the two. There is no need to transmit any information, and there is no need for ftl.

The conservation law occurs before entanglement, when the parent wave function (entangled state) breaks the symmetry and becomes two wave functions, corresponding to the two entangled particles now. These two new wave functions are synchronous. Rotate synchronously in the opposite direction.

Paired entangled electrons. An electron will start from the spin state. In the United States, it takes 360-degree rotation to "flip" down.

Then do a completely opposite rotation and rotate up again. Rotate 720 to complete the spin rise->; Down-> Until its initial spin state. The other particle will start from the spin-down state, completely rotate to the spin-up state, and then rotate back to the spin-down state. Quantum entanglement is the strangest thing in quantum mechanics.

Even if we can't understand, don't ask why. We can only say that this is obviously how the world works. If we can accept the fact that the world is so strange, can we use this "ghostly distance effect" to do something useful? Well, one of the dreams is to realize "teleportation", which transports people or objects from one place to another without passing through the middle space.

So the distance is not important, as long as the rotation of these electrons is synchronous, their spins are always related.