ausbleiben
to fail to appear
Not to take place, not to happen, or not to arrive, although it was expected.
Der erwartete Erfolg der Kampagne ist leider ausgeblieben.
The expected success of the campaign unfortunately failed to appear.

to fail to appear / to be absent
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to fail to appear
Not to take place, not to happen, or not to arrive, although it was expected.
Der erwartete Erfolg der Kampagne ist leider ausgeblieben.
The expected success of the campaign unfortunately failed to appear.

'Ausbleiben' (to fail to appear / to be absent) is a separable verb. In a main clause, the prefix 'aus' goes to the end of the sentence. In subordinate clauses or in the infinitive, the verb stays together.
Die versprochene Gehaltserhöhung blieb leider aus.
The promised salary increase unfortunately failed to appear.
The perfect tense of 'ausbleiben' is always formed with the auxiliary verb 'sein', not with 'haben'. This is because it describes a change of state—from something expected to something that did not happen.
Der angekündigte Regen ist den ganzen Tag ausgeblieben.
The announced rain failed to appear all day.
You can recognize the meaning from the subject of the sentence. If the subject is 'die Regel' (period) or 'die Periode' (period), the word has a specific medical meaning. With all other subjects such as 'Erfolg' (success), 'Antwort' (answer), or 'Gast' (guest), it has the general meaning of 'not happening' or 'failing to appear'.
Eine Entschuldigung seinerseits ist bis heute ausgeblieben.
An apology on his part has failed to appear to this day.
to wait / maintain
'warten' and 'ausbleiben' are both connected with an expectation. With 'warten', the focus is on the person who lets time pass until something happens. With 'ausbleiben', the focus is on the expected event itself: it does not happen or does not arrive. So you can wait for an answer, and the answer can fail to appear. The words can be confused because both are used in situations involving expectation. The important thing is the perspective: people wait for something; events, messages, or results fail to appear.

Die Hilfe blieb aus, obwohl alle sie fest erwartet hatten.
The help did not come, even though everyone had fully expected it.
Nach der Arbeit wartet du noch auf den Anruf deiner Familie.
After work, you are still waiting for the call from your family.