Joining 2 Data Sources with a Time Condition

I am looking to join 2 data sources, that come from 2 indpendent sources.

The goal is to make sure that the railcar numbers match between the two.

But we use the same railcars, so I only want to join the 2 sources if they are within 2 weeks of each other.  Ideally start with the batch number date as day 1 and match if the railcar date is within 2 weeks of that

This is sample data for the first data source:

Batch Car Data

This is the second data source

Railcar Data

I am hoping to combine them, and have the final result look like this:

The top 2 rows match because the railcar numbers are the same, and the dates are within 2 weeks of each other

The 3rd entry didn't match because the railcar numbers are different (3 vs 33).  So each row matched with an empty field

And the 4th entry didnt match because the date was greater than 2 weeks.  So each row matched with an empty field.

Every entry should have a partner, we are just checking for errors.

I could not figure out how to match and get the time component incoprorated and for each row to match with an empty.

Or I am open to any ideas if there is a better way to check for errors