Answer:
select o.orderdate,
p.category,
p.name as productname,
lag(p.name) over (partition by p.category
order by o.orderdate asc) as previousproduct
from orderdetails od
join orders o on od.orderid = o.orderid
join products p on od.productid = p.productid
where o.status = 'Completed'
and o.orderdate between '2245-08-01' and '2245-08-31';