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It's because LCD have input lag, response times and blur. When your CRT receives frame data, he draws that instantly at the speed electrons are fired at the phosphor plate via the electron gun, which is nearly the speed of light, phosphor starts reacting within microseconds. While there is some time needed for illuminative decay, which becomes noticeable at higher refresh rates on CRT on fast movements (red, green or blue "shadow" being drawn behind fast moving stuff), CRT is as instantaneous as it gets.
LCD have scaling and all kinds of DSP crap inducing input lag (upon receiving frame data, it takes Xms to actually start to display that data). Then liquid crystals take some time to shift from one state to another upon receiving current (response time). This creates ghosting because you see parts of old frame data. For example, your screen is running at 60Hz, so you would expect that every 1/60th of a second or ~16.6ms new frame data is visible. But that new frame data is actually only fully and clearly visible and without artifacts of old frame data after +Xms response time.