die Beseitigung
removal / elimination
The removal or elimination of something that is disturbing, unwanted, harmful, or unnecessary.
Die Beseitigung von Baumängeln kann teuer werden.
The removal of construction defects can become expensive.

removal / elimination
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removal / elimination
The removal or elimination of something that is disturbing, unwanted, harmful, or unnecessary.
Die Beseitigung von Baumängeln kann teuer werden.
The removal of construction defects can become expensive.

'Die Beseitigung' (the removal/elimination) is the noun corresponding to the verb 'beseitigen' (to remove/eliminate). The verb itself derives from 'Seite' (side) and literally means to move something 'to the side' or clear it away.
Der Hausmeister kümmert sich um die Beseitigung des Mülls.
The caretaker takes care of the removal of the garbage.
The noun is almost always used with the preposition 'von' and the dative to describe what is being removed.
Die Beseitigung von alten Möbeln ist sehr anstrengend.
The removal of old furniture is very exhausting.
Common things that are removed or eliminated are problems, obstacles, trash, waste, or damage.
Die Stadt plant die Beseitigung der Schlaglöcher auf der Hauptstraße.
The city is planning the removal of the potholes on the main road.
The meaning 'Tötung' (killing) is a euphemism and is used only in contexts of crime, espionage, or dictatorships. Signal words include 'Zeugen' (witnesses), 'Gegner' (opponents), or 'Verräter' (traitors).
Im Agentenfilm wurde die Beseitigung des Spions angeordnet.
In the spy film, the elimination of the spy was ordered.
distance / removal
'die Entfernung' and 'die Beseitigung' can both mean that something is removed. The difference lies in how you look at the thing. 'Entfernung' is more neutral and mainly describes the process: something is taken away. 'Beseitigung' is used more when something is disturbing, harmful, or a problem. It often sounds a bit more formal. Learners may confuse the words because both have to do with 'wegmachen' (getting rid of something). In practice: for a stain, a tooth, or an object, 'Entfernung' often fits. For trash, danger, damage, or problems, 'Beseitigung' sounds more precise.

Nach dem Sturm begann die Beseitigung der Schäden.
After the storm, the cleanup of the damage began.
Die Entfernung des alten Teppichs dauerte den ganzen Vormittag.
The removal of the old carpet took the whole morning.