Help selecting from records with duplicate fields

Question

Test_table2 is shown below with the sql to create it.
I need to:
     Identify duplicate address_keys
        Within that set of duplicate address_keys, select only if HH_Income is the same between the two records and the HH_Age difference is less than 10
           Now the duplicate set matches the necessary criteria, and I want to select from these duplicate address_keys, only the one with the most recent verification date
The purpose of this is to infer cohabiting couples.  In the large set of data we receive, for each HH_key if the people have the same last name they are all listed under the same HH_Key, but if they do not have same last name but live together, they will be listed as separate households (HH_key) but with the same address_key.  A further validator is if each HH_key reports the same HH_Income and if they are close in age.  We then only want to mail to one of the people, so we choose the one that has the most recent verification date.
The result I would expect here, using the table I provided, would be
HH_Key
Address_Key
HH_Type
HH_Income
Age
Verification_Date
1234
1111
10
6
50
10-Jun-13
Can you help?
HH_Key
Address_Key
HH_Type
HH_Income
Age
Verification_Date
1234
1111
10
6
50
10-Jun-13
5678
1111
11
6
49
15-Jun-12
5544
2222
10
6
65
10-Apr-13
7788
1111
3
3
25
10-Jun-13
9898
3333
10
6
45
18-Jun-13
CREATE TABLE test_table2
    (HH_key varchar(20),
     address_key   varchar(20),
     HH_type varchar(2),
     HH_Income varchar(2),
     HH_age varchar(2),
     Verification_date     Date
INSERT INTO test_table2
(HH_Key, Address_key, HH_Type, HH_Income, HH_Age, Verification_date)
VALUES
(1234, 1111, 10, 6, 50, '10-Jun-13');
INSERT INTO test_table2
(HH_Key, Address_key,HH_Type, HH_Income, HH_Age, Verification_date)
VALUES
(5678, 1111, 11, 6, 49, '15-Jun-12');
INSERT INTO test_table2
(HH_Key, Address_key,HH_Type, HH_Income, HH_Age, Verification_date)
VALUES
(5544, 2222, 10, 6, 65, '10-Apr-13');
INSERT INTO test_table2
(HH_Key, Address_key,HH_Type, HH_Income, HH_Age, Verification_date)
VALUES
(7788, 1111, 3, 3, 25, '10-Jun-13');
INSERT INTO test_table2
(HH_Key, Address_key,HH_Type, HH_Income, HH_Age, Verification_date)
VALUES
(9898, 3333, 10, 6, 45, '18-Jun-13');

Answer 1

I really like the results this gave, because it allows me to create a view now that contains the pair in one record.  Thanks for this response.  I think I did post the result that I was looking for which would be the one record that we would mail to:  Once I create the view with one record for each pair, then I would just need to select the verification date that was greatest with the related data.  Would that be the best approach to take?  The fact that I now have a single record for each pair is excellent!
The result I would expect here, using the table I provided, would be
HH_Key
Address_Key
HH_Type
HH_Income
Age
Verification_Date
1234
1111
10
6
50
10-Jun-13