[postgresql] How to add number of days in postgresql datetime

This will give you the deadline :

select id,  
       title,
       created_at + interval '1' day * claim_window as deadline
from projects

Alternatively the function make_interval can be used:

select id,  
       title,
       created_at + make_interval(days => claim_window) as deadline
from projects

To get all projects where the deadline is over, use:

select *
from (
  select id, 
         created_at + interval '1' day * claim_window as deadline
  from projects
) t
where localtimestamp at time zone 'UTC' > deadline