Head/Tail command to grab multiple sets of lines

I have to grab the first two lines, the lines 43 and 44, and the last 2 lines from a file in one conduct of commands. Is there away to print those while only using head, tail and pipe commands AND without special operators like && or ;? All I could think of is this (cat cool | head -n 2) | (tail -n +43 | head -n 2) | (tail -n 2) but it has cat... AND another option is (head -n 2 < cool) | (tail -n +43 < cool | head -n 2) | (tail -n 2 < cool) but for some reason it only shows the last line