In 3200 BC, there were many, many languages spoken besides Sumerian and Egyptian, but they weren't fortunate enough to have a writing system. These languages are just as old. To take one interesting case, the Albanian language (spoken north of Greece) was not written down until about the 15th century AD, yet Ptolemy mentions the people in the first century BC.* The linguistic and archaeological evidence suggests that Albanians were a distinct people for even longer than that. So Albanian has probably existed for several millennia, but has only been written down for 500 years. With a twist of fate, Albanian might be considered very "old" and Greek pretty "new"