How has every comment missed the obvious here? As long as storage capacities stay current or increase (as seems incredibly likely) and computing power does likewise (for search concerns), then your Internet Archives and Googles and search engines and media hosts and governments, and blogs even, have no reason to delete anything ever, it will become both cheaper to store/search and a mere fraction of the data they continue to store. If any major service even goes out of business its data will be bought and preserved by another.
On the other hand it is obvious that current civilization will end in a matter of decades, barring magic technological discoveries to save us from ourselves (guaranteed collapse from the insane "infinite growth is good" paradigm). I think a far more interesting question is how and what data will last, via physical media and technology issues over the long term, what and how data is intentionally preserved and by whom, and when/who/how it will be attempted to be read/recovered by future civilizations (or aliens if we manage to destroy our planet or race that badly).
I did some superficial looking before and I am not sure that we have any sort of capability to reliably store digital data for thousands of years without a refresh, if it should come to that, and there is a lot of gray area in between.
