The purple highlighted square is only missing the number 7 and only has one empty tile.
That tile must be a 7.
Step 29
Elimination, then Single Possibility
The purple highlighted square is missing the numbers 1 and 9. The red highlighted 9
eliminates one the tiles from being a 9. The other one must be a 9, so the remaining tile
must be a 1.
Step 30
Elimination, then Single Possibility
The highlighted column is missing the numbers 2 and 8 and has two empty tiles. The red highlighted
2 eliminates one of the tiles, the other one must be a 2. That leaves a single tile to be the 8.