Will Softwareserial invert logic on TX pin as well as on RX?

I am using Softwareserial in the form SoftwareSerial mySerial(10, 9, 1); to receive and invert signals on pin 10 and transmit on pin 9.

I also want to invert the transmitted signal on pin9 but I am not sure that it IS being inverted - how can I easily tell?

I am running this on a Nano.

(The background story:
I am trying to use the Nano to simulate the output of a GPS transducer which use inverse logic to that on an Arduino. This is to test a sketch I have running on a Due which processes and derives information from the GPS data. I do not have the GPS transducer to hand as this is all for onboard a boat which is 400 miles away!)

The set up with the Due includes hardware conversion of voltage and inverting the signal using a MAX3232 chip, so I need an inverted signal to feed it to test.

Thanks in anticipation for any help