You are not missing any obvious basic move, or even one of the most popular "advanced" moves. This needs a chain.
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+-------------------+-------------------+-------------------+
| 3 248 128 | 48 124 9 | 6 7 5 |
| 1247 5 1278 | 6 124 28a | 9 3 128c |
| 6 289 1289 | 5 7 3 | 12 18 4 |
+-------------------+-------------------+-------------------+
| 1257 2378 12578 | 9 68 4 | 12357 156 1237 |
| 47 3479 6 | 2 5 1 | 8 49 379 |
| 1245 2489 12589 | 3 68 7 | 1245 14569 129 |
+-------------------+-------------------+-------------------+
| 8 27 257 | 147 9 6 | 13457 145 137 |
| 79 6 4 | 178 3 5 | 17 2 89d |
| 579 1 3 | 478 24 28b | 457 89e 6 |
+-------------------+-------------------+-------------------+
There is a solution via "strong links" or "multi-coloring". Look at C6 and C9. They each contain only two candidates for <8>.
One or both of the cells labeled "b" and "d" must be <8>. Think about it! (If neither of them is <8>, both "a" and "c" must be <8>, a contradiction.)
So, R9C8 ("e") cannot be <8>, it must be <9>, and this solves the puzzle.
This pattern is sometimes called a "fork". It is two strong links that almost form an X-wing.
Best wishes,
Keith