
die Heilung
healing
The process of recovering after an illness or injury; the restoration of health.
Die Heilung des komplizierten Bruchs wird mehrere Monate dauern.
The healing of the complicated fracture will take several months.
healing / cure
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healing
The process of recovering after an illness or injury; the restoration of health.
Die Heilung des komplizierten Bruchs wird mehrere Monate dauern.
The healing of the complicated fracture will take several months.

cure
The complete elimination of an illness; the result of a successful healing process.
Für diese seltene Krankheit gibt es leider noch keine garantierte Heilung.
Unfortunately, there is still no guaranteed cure for this rare disease.
'Die Heilung' (healing/cure) is the noun from the verb 'heilen' (to heal). The ending '-ung' forms nouns from verbs, usually describing a process or its result. All nouns ending in '-ung' are feminine.
Die Wunde heilt gut.
The wound is healing well.
The verbs show whether the process (m01) or the result (m02) is meant. Verbs like 'dauern' (to last/take), 'fördern' (to promote), or 'unterstützen' (to support) describe the process. Phrases like 'es gibt eine/keine Heilung' (there is/is no cure) or 'eine Heilung finden' (to find a cure) refer to the result.
Eine positive Einstellung kann die Heilung unterstützen.
A positive attitude can support healing.
When talking about the process of recovery, people often speak of the 'Heilung einer Wunde' (healing of a wound) or the 'Heilung eines Knochenbruchs' (healing of a bone fracture). You can wish someone 'gute Heilung' (a good recovery).
Ruhe und Geduld sind für die Heilung wichtig.
Rest and patience are important for healing.
When 'Heilung' means the result (the elimination of an illness), it is often used with the preposition 'für' (for). You look for 'eine Heilung für eine Krankheit' (a cure for a disease).
Gibt es eine Heilung für diese Art von Krebs?
Is there a cure for this type of cancer?
recovery / rest
After an illness, Erholung mainly concerns the return of strength and well-being. Heilung, by contrast, refers to the process of getting well or the complete elimination of the illness. Someone can therefore be medically cured and still need time to recover.

Die Ärztin bestätigt Ben nach der Behandlung die vollständige Heilung.
After the treatment, the doctor confirms that Ben has made a full recovery.
Nach der überstandenen Grippe braucht Ben noch einige Tage zur Erholung.
After getting over the flu, Ben still needs a few days to recover.