B2 point 150 in the category of MODALITY is defined as:

‘may’ with an increasing range of adverbs (most commonly ‘even’, ‘only’, ‘already’, ‘never’, ‘just’, ‘sometimes’) in the normal mid-position after the modal verb.

B1 point 70:

 ‘may’ with a limited range of adverbs (most commonly ‘also’) in the normal mid-position after the modal verb

FOR EXAMPLE:

That may also have a similar effect.

An iWeb search for:

may_v _r _vvi

B1

1 MAY ALSO WANT 20903
2 MAY ALSO USE 13170
3 MAY ALSO NEED 11981
4 MAY ALSO HELP 11216
5 MAY ALSO INCLUDE 9186
6 MAY ALSO FIND 8275
7 MAY ALSO CAUSE 6068
8 MAY ALSO CHOOSE 5778

9 MAY ALREADY KNOW 5371

  PopBuzz

Ritu Arya: 9 facts about The Umbrella Academy actress you …

British TV lovers may already know Ritu Arya thanks to her roles in Dr. Who and Humans, but audiences worldwide will soon be able to fall in love with her …

10 MAY ALSO PROVIDE 5105
11 MAY ALSO OCCUR 4902

12 MAY NEVER KNOW 4687

13 MAY ALSO REQUIRE 4379
14 MAY ALSO APPLY 4329
15 MAY ALSO WISH 4274
16 MAY ALSO CONTACT 4272
17 MAY ALSO LIKE 4235
18 MAY ALSO MAKE 3815
19 MAY ALSO EXPERIENCE 3652
20 MAY ALSO TAKE 3464
21 MAY ALSO SEE 3463

22 MAY EVEN WANT 3328

  NZME

AA Buyer’s Guide: don’t buy a ‘clocked ‘ car

You may even want to check with friends or on social media. Do your research before you hand over your money; don’t give away your trust too …

23 MAY ALSO CONTAIN 3190

24 MAY EVEN FIND 3133

25 MAY ALSO CONSIDER 3118
26 MAY ALSO COLLECT 2967

27 MAY NEVER GET 2944

28 MAY ALSO LEAD 2923
29 MAY ALSO RESULT 2857
30 MAY ALSO RECEIVE 2847
31 MAY ALSO GET 2845

32 MAY EVEN GET 2822
33 MAY ONLY USE 2768

34 MAY ALSO AFFECT 2727
35 MAY ALSO WORK 2663
36 MAY ALSO ASK 2643
37 MAY ALSO REQUEST 2585

38 MAY STILL NEED 2530
39 MAY ONLY NEED 2519

40 MAY ALSO CALL 2514
41 MAY ALSO INCREASE 2455

42 MAY NEVER SEE 2438
43 MAY JUST WANT 2414
44 MAY ALSO NOTICE 2362
45 MAY ALSO OFFER 2287
46 MAY ADVERSELY AFFECT 2251
47 MAY JUST NEED 2147
48 MAY ALSO FEEL 2126
49 MAY ALSO PLAY 2064
50 MAY WELL FIND 2054
51 MAY ALSO BECOME 2050
52 MAY ALSO CONTRIBUTE 2012
53 MAY ALSO DISCLOSE 1972
54 MAY EVEN HELP 1921
55 MAY ALSO QUALIFY 1911
56 MAY ALSO SHARE 1899
57 MAY ALSO BENEFIT 1871
58 MAY ALSO GIVE 1861
59 MAY ALSO COME 1816
60 MAY ALSO ADD 1813
61 MAY ALSO DEVELOP 1806
62 MAY ALSO REFLECT 1745
63 MAY ALSO REDUCE 1734
64 MAY ALSO TRY 1654
65 MAY ALSO MEAN 1652
66 MAY ALSO SEND 1636
67 MAY ALSO APPEAR 1622
68 MAY EVEN SEE 1609
69 MAY ALSO CHANGE 1556
70 MAY ALSO REFER 1544
71 MAY ALSO INDICATE 1476
72 MAY EVEN MAKE 1450
73 MAY ALSO INVOLVE 1415
74 MAY NEVER COME 1386
75 MAY ALSO SHOW 1373
76 MAY ONLY TAKE 1371
77 MAY STILL WANT 1339
78 MAY ALSO VISIT 1329
79 MAY JUST FIND 1316
80 MAY ALSO SERVE 1304
81 MAY JUST GET 1243
82 MAY EVEN NEED 1207
83 MAY ALSO ENJOY 1204
84 MAY ALSO BRING 1193
85 MAY ALSO ALLOW 1174
86 MAY ALSO ORDER 1160
87 MAY STILL FIND 1144
88 MAY ALSO SUBMIT 1142
89 MAY ALSO RECOMMEND 1122
90 MAY ALSO CHECK 1115
91 MAY ALSO OBTAIN 1091
92 MAY STILL GET 1077
93 MAY ONLY GET 1076
94 MAY EVEN CAUSE 1067
95 MAY ALSO CREATE 1046
96 MAY ACTUALLY HELP 1044
97 MAY ALSO PURCHASE 1031
98 MAY ALSO VARY 1024
99 MAY EVEN FEEL 1015
100 MAY ALSO SUGGEST