Apparent contradiction in the Big Bang Theory

From a reading of the links, they seem to be saying that the time between the Big Bang and the formation of the galaxy string isn't long enough for the galaxy string to form. However, they estimate the time of the Big Bang as about 13 billion years ago and the galaxy string formation at 10 and a bit billion years ago. Thing is, as we see further and further back (or away) the estimate of the age of the universe increases. There may not have been long enough if the universe is only 13 billion years old, but what if it is 15 billion or 18 billion years old, or even older. Does that not mean that there may have been enough time, but that we're still underestimating the age of the universe?