When paired, the unclued lights (one hyphened) are of a kind. Ignore two accents. (The solution at 15D is not listed in Chambers and that at 36D only at its definition.)
Across
3 Global popularity of a lecturer in Keele, say (12)
13 Covered pathways badly made inside, unfortunately (8)
18 Race-course records medal (5)
19 Forced Alan to be involved with U-turn (9)
22 Chemical company is here in France (3)
24 Endless yearning to embrace secretary causing gloom (7)
25 Allowed fellow to enter, then departed (4)
26 Would it provide some relief and relaxation? (7)
28 Novel resort...

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