Hi,
Well the Implicit Deny rule would point to a connection being dropped because it did not find any rule in the interface ACL that would allow it.
You can not remove an Implicit Deny rule from an ACL. If you had no interface ACL in the ASA then the "security-level" would determine in what direction connections would be allowed. Naturally always from higher to lower value.
If there is a problem with your configurations it would naturally be easiest to solve the problem by letting us see the configuration (without sensitive information) and telling us what connection is not allowed (source/destination IP address and port used).
In many cases people tend to allow all traffic from the LAN networks to anywhere which should already avoid hitting the Implicit Deny rule. In your case it seems that there is no such rule.
- Jouni