Wash the tomatoes, peppers, jalapeños, onions, and garlic. Roughly chop the vegetables. There is no need to peel the tomatoes.
Add the tomatoes to a blender and pulse until they reach your desired consistency. Pour into a large stockpot.
Add the green peppers, jalapeños, onions, and garlic to a food processor. Pulse until finely chopped. Add to the stockpot.
Add the tomato paste, salt, black pepper, cumin, sugar, vinegar, and lemon juice.
Stir everything together and bring the salsa to a simmer.
Simmer uncovered for 1 to 4 hours, depending on how deep you want the flavor and how thick you like your salsa. Stir occasionally.
Prepare your water bath canner and canning jars.
Ladle the hot salsa into prepared jars, leaving the required headspace.
Wipe the jar rims clean. Add the lids and rings.
Place the jars into the water bath canner.
Process pint jars for 20 minutes or quart jars for 25 minutes.
Remove the jars from the canner and place them upright on a towel.
Let the jars sit undisturbed at room temperature for 24 hours.
Remove the rings and check the seals.
Label the jars with the contents and date, then store them in a cool, dark place