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John Wesley escised 34 Psalms altogether, and removed portions of another 58.
To imprecate means to invoke evil upon, or curse. Imprecatory psalms, also called the cursing psalms, are those psalms that contain prayers for God's judgment on the psalmist's enemies.
Examples:
"Let death take my enemies by surprise; let them go down alive to the grave." Psalm 55:15
"O God, break the teeth in their mouths." Psalm 58:6
"May they be blotted out of the book of life and not be listed with the righteous." Psalm 69:28
"May his children be fatherless and his wife a widow." Psalm 109:9
"How blessed will be the one who seizes your infants and dashes them against the rocks." Psalm 137:9
The complete list:
Psalms 5:10; 6:10; 7:6; 9:19-20; 10:2,15; 17:13; 28:4; 31:17-18; 35:1,4-8,19,24-26; 40:14-15; 41:10; 54:5; 55:9,15; 56:7; 58:6-10; 59:5,11-14; 63:9-10; 68:1-2; 69:22-28; 70:2-3; 71:13; 79:6,10-12; 83:9-18; 94:1-4; 97:7; 104:35; 109:6-19,29; 119:84; 129:5-7; 137:7-9; 139:19-22; 140:8-11; 141:10; 143:12.
John Wesley considered it highly improper for Christians to sing or pray for others to be cursed or to be met with any kind of affliction, partly because it contradicted Christ's teachings to love your enemies.
To this day there are still many Christians that feel these Psalms conflict with Christian ethics, but there are also those that still choose to sing the Psalms of imprecation. Those that do, argue that the Psalms are inspired Scripture and that all inspired Scripture is inspired by God and profitable. They also argue that all the Psalms of imprecation point to our ultimate enemy, Satan, and that one day they will partake in God’s victory over His enemies.
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I went through the book to check which Psalms are missing and I found it to be the following:
14, 21, 27, 28, 52, 53, 54, 58, 60, 64, 72, 74, 78, 87, 88, 94, 101, 105, 106, 108, 109, 110, 120, 122, 133, 134, 136, 137, 140, 149
30 Psalms in all, entirely omitted.
In the copy you linked to it was unclear whether 67 and 68 were included because pages 110-111 were missing, so I had to find another copy of the book on google books, but I found they are both included, although only 18 verses of 68 are included (normally that Psalm is 35 verses). Aside from that, I have not yet checked with regard to what verses are omitted from the Psalms that are included.
Although the other answer implies that 68:1-2 are excluded, they are not. Nor is the list provided there an exhaustive list of imprecatory verses, because 68:21-23 are also imprecatory (and verses 68:21-23 are excluded by Wesley, but verses 68:1-2 are not).