You can buy them together. Your barrier votes no on wearing them together.
AHAs (glycolic, lactic, mandelic) are water-soluble and work at the surface: texture, glow, the look of fine lines. BHA (salicylic acid) is oil-soluble, so it can travel into pores: congestion, blackheads, oily-skin maintenance. Different tools, genuinely different jobs.
Congestion and oil lean BHA. Dullness and texture lean AHA. Dry or sensitive skin leans lactic or mandelic (gentler AHAs), or a PHA, the gentlest option of all. If you honestly want both benefits, you still only need one per night.
If your skin ever becomes shiny-tight, stings under plain moisturizer, or flushes at nothing, you have found your over-exfoliation line. A week of cleanser, ceramide moisturizer, and sunscreen only, then reintroduce one acid at a lower frequency.
Combination formulas are dosed to be used as a single product, which is different from layering two full-strength products yourself. Even so, they count as your one exfoliating step that night.
Best not to. A retinoid plus any exfoliating acid in one routine is usually too much for the barrier. Alternate nights instead.
For most skin, two to three nights a week is the sweet spot. Daily exfoliation is rarely necessary and frequently regretted.
A free iPhone app that knows the right order for your routine and warns you when ingredients clash. No account needed, nothing to buy, and without an account nothing leaves your phone.