At this stage, there is no need to put them together or reorient anything. Just make sure they are in the top layer.
To get a corner and an edge across from each other, find an empty slot and put it behind your corner piece. Then turn the face the corner piece is on down, making sure that it’s the empty slot that gets put into the top layer, not something you’ve solved. Move the edge piece so it is across from the corner piece. More help on this can be found at the bottom of this article. If they are already across from each other, you can skip this step.
Find an empty slot on the Rubik’s cube, and put your corner in front of it. Now turn that face down so that the empty slot comes into the top layer. This is called hiding, and will allow you to hide away your corner piece so that you can move your edge where you will have formed a matching pair after the corner piece comes back up. The hiding process is explained step by step at the bottom of this article.
With your corner in the front-left, move the left face up, turn your top layer so both the corner and edge are out of the way, and then bring the left side back down in order to change to one of the other cases in this article.
Take the corner piece, put it in the front left or front right, then move the left or right face up to join them. Then move the top layer so that the pair is now in line with the face you moved up, and bring it back down. For other cases, inserting the pair is coming in the next step.
In order to prevent yourself from ruining the already solved pairs, always make sure the slot behind where you are hiding your corner piece is empty.
Turn the top layer so that the F2L pair is out of the way. In order to bring the empty slot into the top layer, the edge and corner pair will have to be moved out of the way.
If the pair breaks when you do it, you are doing it in the wrong direction.
If you forget about this, you may have to go back when you accidentally knock out a solved pair.
If you’ve done it correctly, then when you bring the corner piece back up you will have formed a pair.