Did Noah take two doves, or fourteen?

The apparent contradiction is made plain by simply reading the passage carefully:

   19 And of every living thing of all flesh, two [of every sort] shalt thou bring into the ark, to keep them alive with thee; they shall be male and female.

Please notice that [of every sort] is not in the original language. The emphasis is that the animals will be brought in by pairs capable of mating in order to preserve them alive. This pre-empts questions arising from observation of specific animals, like one bull can service multiple cows. They are to come in pairs.

   2 Of every clean beast thou shalt take to thee by sevens, the male and his female: and of beasts that are not clean by two, the male and his female. 3 Of fowls also of the air by sevens, the male and the female; to keep seed alive upon the face of all the earth.

Now the instructions are made specifically according to types of animals to speak of the total number required. The total number differs based on the kind.

When it is read in Hebrew it does not say 'by sevens' it says 'seven seven'. This is a pair of sevens. The first command was to bring them in by pairs, and the second says to bring a pair of sevens. This is notable because there is a completely different word available for fourteen.