In the discussed experiment involving entangled electrons, measuring the spin of one electron affects the potential for observing an interference pattern in the other electron. If the spin of the left electron is not measured, the right electron can exhibit an interference pattern on the screen. However, measuring the spin of the left electron provides which-slit information for the right electron, preventing the emergence of the interference pattern. The argument that this setup could allow for faster-than-light communication is flawed, as the measurements at one location do not influence the results at another location without prior communication. Ultimately, the entangled particles do not exhibit self-interference when one is measured, maintaining the principles of quantum mechanics.