The University of Tel Aviv released the results of their studies, decades worth, and could find no trace.
Also, their review of the texts of the books, like Exodus, compared with what they found, revealed that the real story centered around the Hyksos peoples who took over Egypt for awhile. They were chased out after an uprising and forced into Canaan, where they settled among the Hebrew tribes, intermarried and told their stories.
The stories were then modified to create the Moses character, and make them into Hebrews, which is partially true, as a descendant of a Hebrew and a Hyksos could say that his ancestors came from Egypt.
Just not his Hebrew ancestors, and that distinction was lost over time.
As far as the size of the Desert and the time spent there, it is very small and there is no way they spent that much time there.
The Moses character became central to the cultural identity of the Hebrews, and they created several books about his journey, always expanding it. It became necessary to inflate the time period drastically. Kings Hezekiah and Josiah likely faked the entire book of Deuteronomy in order to reform Jewish Laws, adding even more events to the time frame.
The nonsense about the Egyptians not keeping records of embarrassing events is just that. Nonsense. There is also no archaeological evidence, or linguistic evidence or anything else for that matter.
Some Jews and Christians desperately cling to this, in spite of the evidence as it is so central to their religion, and their religion falls apart without it. And some even resort to lying about archaeological finds that do not exist.
<<The Egyptian Ipuwer papyrus describes a series of calamities befalling Egypt, including a river turned to blood, men behaving as wild ibises, and the land generally turned upside down. However, this is usually thought to describe a general and long term ecological disaster lasting for a period of decades, such as that which destroyed the Old Kingdom. The document is usually dated to the end of the Middle Kingdom, or more rarely, to its beginning, fitting the Old Kingdom destruction, but in both cases long before the usual theorized dates for the Exodus.>>