Step 1: Recall the six dorsal wrist compartments. The most radial one, compartment 1, is the site of De Quervain disease, a non-inflammatory thickening of the tendon sheath that narrows the tunnel.
Step 2: Two tendons run through compartment 1: abductor pollicis longus (which abducts the thumb) and extensor pollicis brevis (which extends the thumb at the metacarpophalangeal joint). Friction of these two swollen tendons against the tight sheath produces radial wrist pain reproduced by the Finkelstein manoeuvre. The answer is therefore this pair.
Step 3: Knock out the wrong options. "Adductor pollicis longus" does not exist as a named muscle, immediately excluding two choices. Flexor pollicis brevis is a thenar muscle in the palm and never traverses the dorsal first compartment, so it cannot be involved.
\[\boxed{\text{Abductor pollicis longus and extensor pollicis brevis}}\]