How To Write SQL Query And Not Cursor ?

Please help me to get the required result:
For each IDS in table1
- change the ids to numbers (eg. for '1,2,3' get the numbers (IntValue) 1, 2 & 3)
- in table2, find the maxVal for each number
- disply the table1..ids, number, table2..maxVal & table1..idsDesc,
order by table1..ids, table2..maxVal & IntValue

I have 2 tables, over milin records each. The Simplified versions of the tables looks like that:

create table table1 (ids varchar(100), idsDesc varchar(100))
go
insert table1 select '1,2,3', 'Description 1'
union all select '2,3,4', 'Description 2'
union all select '1,7', 'Description 3'
union all select '16,3,8', 'Description 4'
union all select '2,5,6,1', 'Description 5'
go

create table table2 (ids int, maxVal int)
go
insert table2 select 1, 10
union all select 2, 6
union all select 3, 12
union all select 4, 11
union all select 5, 66
union all select 6, 4
union all select 7, 3
-- union all select 8, 5 -- no value for 8
union all select 9, 6
union all select 16, 12
go

I have also function that returns table variable of numbers delivered from given string:
create function dbo.fn_StrToIntValues ( @str varchar(1000) )
returns @numsTbl table (IntValue int not null)

The command
select * from dbo.fn_StrToIntValues('1,2,33')

Returns --> intValue
1
2
33

Can I use SQL query and not cursor to get the following result ?

Required Output :
ids IntValue maxVal idsDesc
--------- -------- ------- ---------------
'2,5,6,1' 5 66 'Description 5'
'16,3,8' 16 12 'Description 4'
'2,3,4,9' 3 12 'Description 2'
'1,2,3' 3 12 'Description 1'
'1,7' 1 10 'Description 3'