Replacing boards in solid engineered oak flooring

I need to remove some boards due to removal of some boxing in the corner of a room which has left a hole. The wood is floating so not glued down, but the tongue and grooves are glued together.

What do I need in order to remove a couple of boards from the corner to replace with new longer ones? Any cut would need to be very clean without affecting the neighbouring board. Can a router do this? The boards are about 2cm deep, so quite thick, and solid.

Assuming I get them out, how do you then join them if you have cut the tongue off the edge board?

Thanks

The tongue you have cut off i assume is still in the neighbouring plank. If so, remove it if possible and cut the next to fit. The old plank might be a good template if it comes out in 1 piece.

Failing that, remove the tongue from the new plank, cut to size and either face nail it or screw it down, filling any holes.

I think a photo might help:
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I need to cut the old boards out - the one on the bottom right and the small one next to it, which is in a kind of P shape. Then I can put new ones in to fill up the hole in the floor at the bottom.

How can I cut the old boards out?

Thanks

Do you need to keep the 2 old boards? If not, then I would be tempted to saw the middle out of them (2 sawcuts parallel to the tongue and groove but maybe a couple of inches in). You could then lift out this middle piece and you might then find the remaining bits will pull out. If not you could gradually whittle them down and finally use a small chisel to get the old tongue out.

OK
Remove the beading that covers the last plank, there's a slither you need to remove first (3 plamks in all). I'ts only about 20mm wide and it doesn't look like theres much room to remove it as there should be a gap of 10mm/15mm between the last plank and the wall. You have about 5mm. The only way is to chisel it out, it doesn't matter if you damage the next plank as this is coming out also. It also doesn't matter if it splits, this will make it easier to remove and wont affect the next plank. Just be careful near the edge of the plank you are leaving in as i suspect from the pic that the groove side will be facing the wall. If you are lucky, the tongue will come out in one piece, if not , you will have to remove it with a very small chisel, flat screwdriver etc.
Basically, just chisel away without damaging planks you want to keep.