Baluns are used for rx and tx applications. The balun most people commonly see is the one that comes with a TV and because of cable TV rarely need.

It converts twinlead from an outside antenna to the cable input on the TV.
A 1:1 balun converts an unbalanced condition to a balanced one, or feeds a 50 ohm antenna to a 50 ohm load.
Other Baluns (eg a 4:1 or 6:1 or 9:1) also match antenna impedance. Each type of line (coax, twinlead, ladderline etc) is either balanced or unbalanced and has a different impedance. All radios have a 50 (actually 52 ohm) impedance.
If the line (lead in from the antenna) has a 450 ohm impedance a 9:1 balun would convert the 450 ohms to 50, or 450/9=50. If my memory is correct, TV twinlead has 300 ohms, so a 6:1 blaun is used.
A line that is mismatched to the load creates signal loss. The next question is the obvious how important is all that.. As far as swl work, the stations use a lot of power, so a balun is not as important as it is for Ham operations..
More important is a good station ground and btw, to perform properly Baluns desire a good ground also..