When pointing out that there are different genealogies in Matthew 1 and Luke 3, one of Joseph's lineage, and the other Mary's lineage, the point comes up that it can't be.

The point is made that there are two names in the same order in both genealogies, so that it must be the same lineage:

Matthew 1:12 And after they were brought to Babylon, Jechonias begat Salathiel; and Salathiel begat Zorobabel;

  13 And Zorobabel begat Abiud; and Abiud begat Eliakim; and Eliakim begat Azor;

and

Luke 3:27 Which was the son of Joanna, which was the son of Rhesa, which was the son of Zorobabel, which was the son of Salathiel, which was the son of Neri,

There are a few counters to that point:

1) The names of those before and after the two names are different in the two genealogies

2) There is another example where there are three names that appear in the same order, (Amariah, Ahitub, Zadok) twice, in a single genealogy:

I Chronicles 6:7 Meraioth begat Amariah, and Amariah begat Ahitub,

  8 And Ahitub begat Zadok, and Zadok begat Ahimaaz,

  9 And Ahimaaz begat Azariah, and Azariah begat Johanan,

  10 And Johanan begat Azariah, (he it is that executed the priest’s office in the temple that Solomon built in Jerusalem:)

  11 And Azariah begat Amariah, and Amariah begat Ahitub,

  12 And Ahitub begat Zadok, and Zadok begat Shallum,

So, two names in the same order does not prove Matthew and Luke have the same genealogy

3) Joseph's lineage in Matthew goes back to Solomon, the son of David, shows the right to the throne was Joseph's,

but Coniah (Jechonias) was told that none of his seed would sit on the throne (Jeremiah 22:24, 28-30), so Joseph, nor any of his sons could sit on the throne,

yet Jesus was not Joseph's son, since he was virgin born, but the full rights of adoption was his, including the right to the throne.

While Mary's lineage in Luke goes back to Nathan, another son of David and Bathsheba, fulfilling the promise to David, about his seed.