Is the following statement a valid legal statement in Puppet code: package { 'resource-title' : name => $::operatingsystem ? { 'redhat' => $::memory ? { 512 => 'httpd', 128 => 'http', } 'debian' => 'apache2', }, ensure => installed, }?

The statement provided in the question is not a valid legal statement due to several syntax errors and structural issues. In Puppet, conditional statements using the ternary operator should follow a precise structure and have all necessary elements for them to function correctly.

Specifically, the use of the nested conditional operator with the memory check lacks proper syntax to handle the fallback case. For instance, when using a ternary conditional, it typically requires a complete format such as condition ? 'true_value' : 'false_value'. This means that for the case of ::memory, there should be a well-defined result for when the memory does not match 512 or 128. The syntax should also ensure that the key/value pairs within the package resource block are clearly defined and comprehensible.

Additionally, the whole expression lacks necessary punctuation and logical structure, as it's missing commas to separate conditions and ensuring the proper nesting of the hash.

Ultimately, for a Puppet code to be valid, it must conform not only to logical conditions but also to proper syntax and formatting which is not demonstrated in this statement. Therefore, it cannot be considered legal Puppet code.