Let's simplify the expression step by step:

2a + 3 / 2a - 3 * (2a^2 + 3a / 4a^2 + 12a + 9 - 3a + 2 / 2a + 3) + 4a - 1 / 2a - 3 - a - 1 / a

First, let's simplify the expression inside the parentheses:

2a^2 + 3a / 4a^2 + 12a + 9 - 3a + 2 / 2a + 3

= 2a^2 + 3a / 4a^2 + 12a + 9 - 3a + 1 (simplify 2/2)

Now, let's continue simplifying the expression:

2a + 3 / 2a - 3 * (2a^2 + 3a / 4a^2 + 12a + 9 - 3a + 1) + 4a - 1 / 2a - 3 - a - 1 / a

= 2a + 3 / 2a - 3 * (2a^2 + 3a / 4a^2 + 12a + 9 - 3a + 1) + 4a - 1 / 2a - 3 - a - 1 / a

Now let's simplify the expression inside the second set of parentheses:

2a^2 + 3a / 4a^2 + 12a + 9 - 3a + 1

= 2a^2 + 3a / 4a^2 + 12a + 9 - 3a + 1
= 2a^2 + 3a / 4a^2 + 9a + 9 + 1
= 2a^2 + 3a / 4a^2 + 9a + 10

Now, let's substitute this into the original expression:

2a + 3 / 2a - 3 * (2a^2 + 3a / 4a^2 + 9a + 10) + 4a - 1 / 2a - 3 - a - 1 / a

Now, let's simplify each part of the expression:

2a + 3 / 2a - 3 * (2a^2 + 3a / 4a^2 + 9a + 10) + 4a - 1 / 2a - 3 - a - 1 / a
= 2a + 3 / 2a - 3 (2a^2 + 3a / 4a^2 + 9a + 10) + 4a - 1 / 2a - 3 - a - 1 / a
= 2a + 3 / 2a - 3 (2a^2 + 3a / 4a^2 + 9a + 10) + 4a - 1 / 2a - 3 - a - 1 / a
= 2a + 3 / 2a - 3 (2a^2 + 3a / 4a^2 + 9a + 10) + 4a - 1 / 2a - 3 - a - 1 / a

At this point, the expression is still a bit complex to calculate fully. You can try solving it step by step or using a calculator to simplify it further.