What scholars might these be? Do you have any texts from which you can quote?
As I've said before: I've done my research, so I know what's out there. I am not going to do research for you. I'm giving you credit for doing your own work.
I do enjoy the way some Christians desperately try to reconcile evidently contradictory texts.
No, you don't. Before your arrival, Christians already had these questions and did some research into language, history, culture and etymology. I have done my studies, and so have other Christians. Do your own. It's out there.
Are you now trying to contend that Mary's pregnancy lasted for more than ten years right up until 6 CE?
I am going to ignore the idiocy of this question. I am saying Luke and Matthew have the same timeline for the birth of Jesus. Your own conclusion about the census is it was the 14 AD census, which was a second census. What about if it was the first census Caesar August called? That began about 8 BC, and may have aligned with a provincial census Quirinius called around 3 BC.
We hear from both Gospels that Jesus was born when Herod was king and at the time of a census (enrollment). You may be aware that birth dates weren't even recorded for the common people in Israel until the early 20th century. Matthew and Luke placed the approximate year Jesus was born during the final years Herod reigned, about the time of a census. At that time, in that culture, the common people did not record events by years, but by important events. Therefore, when Matthew and Luke recorded the time of Jesus' birth they gave the events people of their time would remember.
Given this information (which you can research and study on your own), why is it so vital to you that Matthew and Luke didn't come up with the same precise date?