die Rasur
shaving
The process of removing body or facial hair using a razor or electric shaver.
Für eine gründliche Rasur braucht man eine scharfe Klinge und Rasierschaum.
For a thorough shave, you need a sharp blade and shaving foam.

shave / shaving
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shaving
The process of removing body or facial hair using a razor or electric shaver.
Für eine gründliche Rasur braucht man eine scharfe Klinge und Rasierschaum.
For a thorough shave, you need a sharp blade and shaving foam.

'Die Rasur' (shave/shaving) is the noun derived from the verb '(sich) rasieren' (to shave). The ending '-ur' signals here, as in 'Reparatur' (repair), the process or result of an action.
Er muss sich jeden Morgen vor der Arbeit rasieren.
He has to shave every morning before work.
The word is very frequently used with the prepositions 'vor' (before), 'bei' (during/while), and 'nach' (after) to describe the phases of the shaving process.
Nach der Rasur fühlt sich meine Haut immer sehr glatt an.
After the shave, my skin always feels very smooth.
When the process of shaving is meant, 'Rasur' (shaving) is often combined with adjectives like 'gründlich' (thorough), 'schnell' (quick), or 'täglich' (daily). The distinction between 'Nassrasur' (wet shave) and 'Trockenrasur' (dry shave) is also common.
Am Wochenende nehme ich mir Zeit für eine gründliche Nassrasur.
On the weekend, I take time for a thorough wet shave.
When the result is being described, it is often about quality. Typical formulations are 'eine glatte Rasur' (a smooth shave) or 'eine saubere Rasur' (a clean shave). The condition of the skin is also often discussed, e.g. 'Rötungen nach der Rasur' (redness after shaving).
Mit dem neuen Rasierer bekomme ich immer eine perfekt glatte Rasur.
With the new razor, I always get a perfectly smooth shave.