Complex sentence: Conan contacts the Detective Boys via the badge communicator, and Ran is saved by Agasa but because she is thoroughly freaked out, she runs off, with both the murderer and Conan in pursuit.
Split into simpler sentences: Conan contacts the Detective Boys via the badge communicator and Ran is saved by Agasa. Thoroughly frightened, Ran runs off, with both the murderer and Conan in pursuit.