If your magazine is a Da Kine or better you would probably be better off leaving it alone. One can easily do more damage than you can expect to add in value. This is the process of reinforcing and stabilizing a poster by gluing it with wheat paste to acid-free paper and light cotton canvas. The process provides an excellent base for paper replacement. Linen backing is expensive, but it can increase a poster's value.
Water can lift the inks and thin the paper.
Be extremely careful with any solvent, as improper ones will cause long-term damage. Bleaching improperly applied can rot the page, yet proper dry cleaning and flattening can do wonders. Instead, use a heat-set mending tissue that's available at fine stationery stores. Simply place the tissue over your page and iron to recreate a perfect page. Also Japanese paper and wheat or cornstarch paste can be used, this can be removed later with no effect on the page.