How to export a date range in Calendar
A workaround would be:
Create a temporary calendar from File>New Calendar.
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Mark the calendars you want to export:
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Depending on the time range you want to export select week or month view:
Go to the week or month you want to export, press ⌘A to select all events and ⌘C to copy them.
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Select the temporary calendar:
and press ⌘V to paste all previously copied events.
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Export the temporary calendar as an ics file:
Delete the temporary calendar with Edit>Delete.
Although jaume came up with an very easy workaround somebody might be looking for an even easier solution. Take a look at the Calex App which offers a little bit more features. For example Calex lets you export multiple calendars into one single file.
You can at least Drag and Drop single events out of the Calendar window.