
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
Loading your saved state.

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.

elimination
In a euphemistic or criminal context, the planned killing of a person.
Der Diktator befahl die Beseitigung seiner politischen Gegner.
The dictator ordered the elimination of his political opponents.
'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
When removing a troublesome object, both Entfernung and Beseitigung can fit. Entfernung describes the process neutrally, while Beseitigung emphasizes more strongly that something unwanted or troublesome needs to be completely removed. For simply taking something away, Entfernung is more neutral; for a problem, Beseitigung is more appropriate.

Die Beseitigung des gefährlichen Schildes war dringend nötig.
Removing the dangerous sign was urgently necessary.
Die Entfernung des alten Schildes dauerte nur wenige Minuten.
Removing the old sign took only a few minutes.