And the environments between the 2 gospels are shown to be the exact opposite to each other. Herod threaten Jesus' existence, while in Luke's it was all peaceful, hence no massacre and no exile. In Luke 3, it was peaceful enough that 8 days later, Jesus was circumcised; and then Joseph and Mary took Jesus to the temple. No exile in Egypt.
It seemed to be 2 completely different birth myths. Even the genealogies are completely different.
Even Nazareth is completely left out in Matthew (2:19-23) until after Joseph decided to return to Israel. Joseph decided to move to Nazareth because of Archelous was ruling Judaea. The omission of Nazareth (everything prior to 2:19-23, so including chapter 1) seemed to indicate Joseph and Mary were actually living in Bethlehem. But of course, Luke tells a completely different story.
The only commonality between the two is that Jesus was born in Bethlehem, but every other detail about the conception and birth of Jesus are different. When you look at the gospels side by side, they don't make sense.
Why do you use the plural gospels as if there is more than one gospel?
We have the gospel [singular] according to Matthew
We have the gospel [singular] according to Mark
We have the gospel [singular] according to Luke
We have the gospel [singular] according to John
Four writers of one gospel.
The writings of all four are to be viewed as one. One gospel.
What one mentions does not mean the other needs to repeat.
Not different genealogies but one traced through Jesus paternal side,
and the other one through his maternal side.
Those old temple records were not challenged in the first century.
No one at Jesus time frame wrote that his genealogy was wrong.