The Pre Oder extension supports displaying Expected Available Date.

In the Stock Status Label field:

Enter the Stock Status Label to be displayed above the default label Pre Order on the Product Listing Page. For example: Available Soon, Available in {{ day }} days, Delivery on {{ long_date }},…

If empty, no label will be shown. Variables available are:

{{ short_date }} - the delivery date set in short format. Ex: 11/20/2019.
{{ long_date }} - the delivery date in long format. Ex: Nov 20, 2019.
{{ day }} - number of days from the current day to the delivery date.
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