Remove Filter When Exposed Filter is Selected
You can do this by combining two "Authored on" Filters, one regular and the other one Exposed with the OR Operator working between them/groups of Filters. 

Add the regular "Authored on" Filter Is less than or equal to now. 

Add another "Authored on" Filter and Expose it with your preferred settings, how you want your visitors to use it, don't enter a default value. 

Then under Add dropdown choose And/Or Rearrange, Create a new filter group. move the Exposed "Authored on" to it, and choose the OR between the groups, while keeping AND within groups. 

Recreate any Filters you might need in the second group. 

That's it!

Be very careful of your entire Filters configuration. If you have Exposed filters in the first group too, they will not be able to be applied at the same time (because OR), which may be confusing to users...