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Can you run multiple RS232 channels through a single transceiver? e.g.SN65C3243

Other Parts Discussed in Thread: SN65C3243, TRS3232E

Hi, I'm planning on using a SN65C3243 RS232 Line driver in one of our new designs. The design will have 4 x RS232 channels all coming from 4 x separate UART channels on our main IC. The RS232 will be operated in 3 wire mode with only Tx, Rx, and GND. 

Can anyone tell me whether I can pass 3 x of the RS232 "busses" through a single SN65C3243, or will I require 4 x seperate  SN65C3243 chips, and simply connect the unused input pins to 3.3V? 
I'm worried that the device will suffer from interference if it is meant to only be handling signals from a single RS232 channel.
Thank you for your help,