In general laser prints will outlast inkjet prints. Laser toner does not fade as much nor is it as susceptible to moisture as inkjet ink. Folks can look this up online to verify.
But keep in mind that the paper/ink combination can greatly impact how the printed page performs and the standard recommendations for a maintained environment are in play. Additionally, it is absolutely false economy to buy cheap 'acid-free' paper and 3rd party ink/toner. If you want to invest in quality album pages that are least impacted by aging and stay going good, you should spend money on paper and ink. Truly archival paper is costly and you are not going to find it sitting in Office Depot. There is also archival inks and toner but it is also costly and harder to find.
Definitely stay away from the cheap 3rd party inks for inkjets if you care about fading printouts, color accuracy, and maintaining your printer. There is a reason why these void the printer warrantee, to sell them at a cheap price they use more volatile carrriers which evaporate much more quickly. This causes clogging in the ink nozzles and can also end up etching the print head.
Here is how cheap inkjet prints age... quality ink top, cheap 3rd party ink in middle row and bottom rows.
Ink/toner and paper are a commodities items; you get EXACTLY what you pay for.